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Finding the Fourth Proportional to 75,809.92, 104,622.96 and 42,275.92

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Solution

The fourth proportional to 75,809.92, 104,622.96 and 42,275.92 is: 58,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,809.92 : 104,622.96 = 42,275.92 : x
  2. Step 2: Convert to fraction form
    75,809.92/104,622.96 = 42,275.92/x
  3. Step 3: Cross multiply
    75,809.92x = 104,622.96 × 42,275.92
  4. Step 4: Simplify right side
    75,809.92x = 4,423,031,887.12
  5. Step 5: Solve for x
    x = 4,423,031,887.12/75,809.92
  6. Step 6: Final answer
    x = 58,343.71

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1.5x scale

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.