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Finding the Fourth Proportional to 121,646.16, 182,467.08 and 38,538

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Solution

The fourth proportional to 121,646.16, 182,467.08 and 38,538 is: 57,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,646.16 : 182,467.08 = 38,538 : x
  2. Step 2: Convert to fraction form
    121,646.16/182,467.08 = 38,538/x
  3. Step 3: Cross multiply
    121,646.16x = 182,467.08 × 38,538
  4. Step 4: Simplify right side
    121,646.16x = 7,031,916,329.04
  5. Step 5: Solve for x
    x = 7,031,916,329.04/121,646.16
  6. Step 6: Final answer
    x = 57,806.32

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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.