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Finding the Fourth Proportional to 92,030.16, 138,024.72 and 35,871.78

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Solution

The fourth proportional to 92,030.16, 138,024.72 and 35,871.78 is: 53,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,030.16 : 138,024.72 = 35,871.78 : x
  2. Step 2: Convert to fraction form
    92,030.16/138,024.72 = 35,871.78/x
  3. Step 3: Cross multiply
    92,030.16x = 138,024.72 × 35,871.78
  4. Step 4: Simplify right side
    92,030.16x = 4,951,192,390.40
  5. Step 5: Solve for x
    x = 4,951,192,390.40/92,030.16
  6. Step 6: Final answer
    x = 53,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.