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Finding the Fourth Proportional to 31,810.25, 47,715.08 and 19,333.72

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Solution

The fourth proportional to 31,810.25, 47,715.08 and 19,333.72 is: 29,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.25 : 47,715.08 = 19,333.72 : x
  2. Step 2: Convert to fraction form
    31,810.25/47,715.08 = 19,333.72/x
  3. Step 3: Cross multiply
    31,810.25x = 47,715.08 × 19,333.72
  4. Step 4: Simplify right side
    31,810.25x = 922,509,959.47
  5. Step 5: Solve for x
    x = 922,509,959.47/31,810.25
  6. Step 6: Final answer
    x = 29,000.40

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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.