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Finding the Fourth Proportional to 31,528,032.70, 47,292,049.05 and 31,528,032.70

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Solution

The fourth proportional to 31,528,032.70, 47,292,049.05 and 31,528,032.70 is: 47,292,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528,032.70 : 47,292,049.05 = 31,528,032.70 : x
  2. Step 2: Convert to fraction form
    31,528,032.70/47,292,049.05 = 31,528,032.70/x
  3. Step 3: Cross multiply
    31,528,032.70x = 47,292,049.05 × 31,528,032.70
  4. Step 4: Simplify right side
    31,528,032.70x = 1,491,025,268,898,403.75
  5. Step 5: Solve for x
    x = 1,491,025,268,898,403.75/31,528,032.70
  6. Step 6: Final answer
    x = 47,292,049.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.