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Finding the Fourth Proportional to 31,653.19, 47,407.08 and 15,809.59

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Solution

The fourth proportional to 31,653.19, 47,407.08 and 15,809.59 is: 23,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.19 : 47,407.08 = 15,809.59 : x
  2. Step 2: Convert to fraction form
    31,653.19/47,407.08 = 15,809.59/x
  3. Step 3: Cross multiply
    31,653.19x = 47,407.08 × 15,809.59
  4. Step 4: Simplify right side
    31,653.19x = 749,486,379.38
  5. Step 5: Solve for x
    x = 749,486,379.38/31,653.19
  6. Step 6: Final answer
    x = 23,678.07

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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.