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Finding the Fourth Proportional to 94,967.84, 142,500.35 and 38,849.42

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Solution

The fourth proportional to 94,967.84, 142,500.35 and 38,849.42 is: 58,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,967.84 : 142,500.35 = 38,849.42 : x
  2. Step 2: Convert to fraction form
    94,967.84/142,500.35 = 38,849.42/x
  3. Step 3: Cross multiply
    94,967.84x = 142,500.35 × 38,849.42
  4. Step 4: Simplify right side
    94,967.84x = 5,536,055,331.92
  5. Step 5: Solve for x
    x = 5,536,055,331.92/94,967.84
  6. Step 6: Final answer
    x = 58,294.00

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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.