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Finding the Fourth Proportional to 42,901.88, 64,352.82 and 24,395

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Solution

The fourth proportional to 42,901.88, 64,352.82 and 24,395 is: 36,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,901.88 : 64,352.82 = 24,395 : x
  2. Step 2: Convert to fraction form
    42,901.88/64,352.82 = 24,395/x
  3. Step 3: Cross multiply
    42,901.88x = 64,352.82 × 24,395
  4. Step 4: Simplify right side
    42,901.88x = 1,569,887,043.90
  5. Step 5: Solve for x
    x = 1,569,887,043.90/42,901.88
  6. Step 6: Final answer
    x = 36,592.50

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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.