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Finding the Fourth Proportional to 65,155.80, 97,667.47 and 25,658.58

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Solution

The fourth proportional to 65,155.80, 97,667.47 and 25,658.58 is: 38,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,155.80 : 97,667.47 = 25,658.58 : x
  2. Step 2: Convert to fraction form
    65,155.80/97,667.47 = 25,658.58/x
  3. Step 3: Cross multiply
    65,155.80x = 97,667.47 × 25,658.58
  4. Step 4: Simplify right side
    65,155.80x = 2,506,008,592.39
  5. Step 5: Solve for x
    x = 2,506,008,592.39/65,155.80
  6. Step 6: Final answer
    x = 38,461.79

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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.