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Finding the Fourth Proportional to 46,472.32, 69,708.71 and 11,411.99

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Solution

The fourth proportional to 46,472.32, 69,708.71 and 11,411.99 is: 17,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.32 : 69,708.71 = 11,411.99 : x
  2. Step 2: Convert to fraction form
    46,472.32/69,708.71 = 11,411.99/x
  3. Step 3: Cross multiply
    46,472.32x = 69,708.71 × 11,411.99
  4. Step 4: Simplify right side
    46,472.32x = 795,514,781.42
  5. Step 5: Solve for x
    x = 795,514,781.42/46,472.32
  6. Step 6: Final answer
    x = 17,118.04

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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.