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Finding the Fourth Proportional to 42,712.22, 64,023.75 and 14,624

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Solution

The fourth proportional to 42,712.22, 64,023.75 and 14,624 is: 21,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.22 : 64,023.75 = 14,624 : x
  2. Step 2: Convert to fraction form
    42,712.22/64,023.75 = 14,624/x
  3. Step 3: Cross multiply
    42,712.22x = 64,023.75 × 14,624
  4. Step 4: Simplify right side
    42,712.22x = 936,283,320
  5. Step 5: Solve for x
    x = 936,283,320/42,712.22
  6. Step 6: Final answer
    x = 21,920.74

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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.