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Finding the Fourth Proportional to 64,854.87, 97,323.30 and 38,200.80

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Solution

The fourth proportional to 64,854.87, 97,323.30 and 38,200.80 is: 57,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854.87 : 97,323.30 = 38,200.80 : x
  2. Step 2: Convert to fraction form
    64,854.87/97,323.30 = 38,200.80/x
  3. Step 3: Cross multiply
    64,854.87x = 97,323.30 × 38,200.80
  4. Step 4: Simplify right side
    64,854.87x = 3,717,827,918.64
  5. Step 5: Solve for x
    x = 3,717,827,918.64/64,854.87
  6. Step 6: Final answer
    x = 57,325.35

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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.