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Finding the Fourth Proportional to 54,806.48, 75,633 and 29,655.92

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Solution

The fourth proportional to 54,806.48, 75,633 and 29,655.92 is: 40,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.48 : 75,633 = 29,655.92 : x
  2. Step 2: Convert to fraction form
    54,806.48/75,633 = 29,655.92/x
  3. Step 3: Cross multiply
    54,806.48x = 75,633 × 29,655.92
  4. Step 4: Simplify right side
    54,806.48x = 2,242,966,197.36
  5. Step 5: Solve for x
    x = 2,242,966,197.36/54,806.48
  6. Step 6: Final answer
    x = 40,925.20

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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.