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Finding the Fourth Proportional to 65,282.60, 97,923.90 and 38,973.80

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Solution

The fourth proportional to 65,282.60, 97,923.90 and 38,973.80 is: 58,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282.60 : 97,923.90 = 38,973.80 : x
  2. Step 2: Convert to fraction form
    65,282.60/97,923.90 = 38,973.80/x
  3. Step 3: Cross multiply
    65,282.60x = 97,923.90 × 38,973.80
  4. Step 4: Simplify right side
    65,282.60x = 3,816,466,493.82
  5. Step 5: Solve for x
    x = 3,816,466,493.82/65,282.60
  6. Step 6: Final answer
    x = 58,460.70

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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.