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Finding the Fourth Proportional to 31,061.41, 46,601.19 and 10,000.98

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Solution

The fourth proportional to 31,061.41, 46,601.19 and 10,000.98 is: 15,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.41 : 46,601.19 = 10,000.98 : x
  2. Step 2: Convert to fraction form
    31,061.41/46,601.19 = 10,000.98/x
  3. Step 3: Cross multiply
    31,061.41x = 46,601.19 × 10,000.98
  4. Step 4: Simplify right side
    31,061.41x = 466,057,569.17
  5. Step 5: Solve for x
    x = 466,057,569.17/31,061.41
  6. Step 6: Final answer
    x = 15,004.39

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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.