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Finding the Fourth Proportional to 75,487.95, 113,234.36 and 22,897.89

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Solution

The fourth proportional to 75,487.95, 113,234.36 and 22,897.89 is: 34,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,487.95 : 113,234.36 = 22,897.89 : x
  2. Step 2: Convert to fraction form
    75,487.95/113,234.36 = 22,897.89/x
  3. Step 3: Cross multiply
    75,487.95x = 113,234.36 × 22,897.89
  4. Step 4: Simplify right side
    75,487.95x = 2,592,827,805.01
  5. Step 5: Solve for x
    x = 2,592,827,805.01/75,487.95
  6. Step 6: Final answer
    x = 34,347.57

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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.