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Finding the Fourth Proportional to 31,509.80, 47,264.70 and 15,925.40

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Solution

The fourth proportional to 31,509.80, 47,264.70 and 15,925.40 is: 23,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.80 : 47,264.70 = 15,925.40 : x
  2. Step 2: Convert to fraction form
    31,509.80/47,264.70 = 15,925.40/x
  3. Step 3: Cross multiply
    31,509.80x = 47,264.70 × 15,925.40
  4. Step 4: Simplify right side
    31,509.80x = 752,709,253.38
  5. Step 5: Solve for x
    x = 752,709,253.38/31,509.80
  6. Step 6: Final answer
    x = 23,888.10

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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.