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Finding the Fourth Proportional to 53,726.04, 80,568 and 31,545

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Solution

The fourth proportional to 53,726.04, 80,568 and 31,545 is: 47,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,726.04 : 80,568 = 31,545 : x
  2. Step 2: Convert to fraction form
    53,726.04/80,568 = 31,545/x
  3. Step 3: Cross multiply
    53,726.04x = 80,568 × 31,545
  4. Step 4: Simplify right side
    53,726.04x = 2,541,517,560
  5. Step 5: Solve for x
    x = 2,541,517,560/53,726.04
  6. Step 6: Final answer
    x = 47,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.