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Finding the Fourth Proportional to 46,001.14, 69,001.71 and 14,411.47

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Solution

The fourth proportional to 46,001.14, 69,001.71 and 14,411.47 is: 21,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,001.14 : 69,001.71 = 14,411.47 : x
  2. Step 2: Convert to fraction form
    46,001.14/69,001.71 = 14,411.47/x
  3. Step 3: Cross multiply
    46,001.14x = 69,001.71 × 14,411.47
  4. Step 4: Simplify right side
    46,001.14x = 994,416,073.61
  5. Step 5: Solve for x
    x = 994,416,073.61/46,001.14
  6. Step 6: Final answer
    x = 21,617.21

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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.