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Finding the Fourth Proportional to 65,167.88, 97,565.85 and 42,913.40

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Solution

The fourth proportional to 65,167.88, 97,565.85 and 42,913.40 is: 64,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.88 : 97,565.85 = 42,913.40 : x
  2. Step 2: Convert to fraction form
    65,167.88/97,565.85 = 42,913.40/x
  3. Step 3: Cross multiply
    65,167.88x = 97,565.85 × 42,913.40
  4. Step 4: Simplify right side
    65,167.88x = 4,186,881,859.56
  5. Step 5: Solve for x
    x = 4,186,881,859.56/65,167.88
  6. Step 6: Final answer
    x = 64,247.64

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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.