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Finding the Fourth Proportional to 97,882.80, 147,002.40 and 58,516.80

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Solution

The fourth proportional to 97,882.80, 147,002.40 and 58,516.80 is: 87,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,882.80 : 147,002.40 = 58,516.80 : x
  2. Step 2: Convert to fraction form
    97,882.80/147,002.40 = 58,516.80/x
  3. Step 3: Cross multiply
    97,882.80x = 147,002.40 × 58,516.80
  4. Step 4: Simplify right side
    97,882.80x = 8,602,110,040.32
  5. Step 5: Solve for x
    x = 8,602,110,040.32/97,882.80
  6. Step 6: Final answer
    x = 87,881.73

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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.