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Finding the Fourth Proportional to 75,122.61, 103,663.29 and 43,294.06

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Solution

The fourth proportional to 75,122.61, 103,663.29 and 43,294.06 is: 59,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122.61 : 103,663.29 = 43,294.06 : x
  2. Step 2: Convert to fraction form
    75,122.61/103,663.29 = 43,294.06/x
  3. Step 3: Cross multiply
    75,122.61x = 103,663.29 × 43,294.06
  4. Step 4: Simplify right side
    75,122.61x = 4,488,004,697.06
  5. Step 5: Solve for x
    x = 4,488,004,697.06/75,122.61
  6. Step 6: Final answer
    x = 59,742.40

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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.