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Finding the Fourth Proportional to 56,031.57, 77,322.56 and 30,538.17

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Solution

The fourth proportional to 56,031.57, 77,322.56 and 30,538.17 is: 42,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,031.57 : 77,322.56 = 30,538.17 : x
  2. Step 2: Convert to fraction form
    56,031.57/77,322.56 = 30,538.17/x
  3. Step 3: Cross multiply
    56,031.57x = 77,322.56 × 30,538.17
  4. Step 4: Simplify right side
    56,031.57x = 2,361,289,329.42
  5. Step 5: Solve for x
    x = 2,361,289,329.42/56,031.57
  6. Step 6: Final answer
    x = 42,142.12

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