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Finding the Fourth Proportional to 58,031.52, 86,931.84 and 38,250

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Solution

The fourth proportional to 58,031.52, 86,931.84 and 38,250 is: 57,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,031.52 : 86,931.84 = 38,250 : x
  2. Step 2: Convert to fraction form
    58,031.52/86,931.84 = 38,250/x
  3. Step 3: Cross multiply
    58,031.52x = 86,931.84 × 38,250
  4. Step 4: Simplify right side
    58,031.52x = 3,325,142,880
  5. Step 5: Solve for x
    x = 3,325,142,880/58,031.52
  6. Step 6: Final answer
    x = 57,298.91

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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.