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Finding the Fourth Proportional to 46,332, 63,909.84 and 27,456.48

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Solution

The fourth proportional to 46,332, 63,909.84 and 27,456.48 is: 37,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 63,909.84 = 27,456.48 : x
  2. Step 2: Convert to fraction form
    46,332/63,909.84 = 27,456.48/x
  3. Step 3: Cross multiply
    46,332x = 63,909.84 × 27,456.48
  4. Step 4: Simplify right side
    46,332x = 1,754,739,243.76
  5. Step 5: Solve for x
    x = 1,754,739,243.76/46,332
  6. Step 6: Final answer
    x = 37,873.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.