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Finding the Fourth Proportional to 65,233.26, 89,934.03 and 42,527.34

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Solution

The fourth proportional to 65,233.26, 89,934.03 and 42,527.34 is: 58,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.26 : 89,934.03 = 42,527.34 : x
  2. Step 2: Convert to fraction form
    65,233.26/89,934.03 = 42,527.34/x
  3. Step 3: Cross multiply
    65,233.26x = 89,934.03 × 42,527.34
  4. Step 4: Simplify right side
    65,233.26x = 3,824,655,071.38
  5. Step 5: Solve for x
    x = 3,824,655,071.38/65,233.26
  6. Step 6: Final answer
    x = 58,630.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.