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Finding the Fourth Proportional to 65,200.52, 97,865.58 and 30,148.04

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Solution

The fourth proportional to 65,200.52, 97,865.58 and 30,148.04 is: 45,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.52 : 97,865.58 = 30,148.04 : x
  2. Step 2: Convert to fraction form
    65,200.52/97,865.58 = 30,148.04/x
  3. Step 3: Cross multiply
    65,200.52x = 97,865.58 × 30,148.04
  4. Step 4: Simplify right side
    65,200.52x = 2,950,455,420.46
  5. Step 5: Solve for x
    x = 2,950,455,420.46/65,200.52
  6. Step 6: Final answer
    x = 45,252.02

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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.