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Finding the Fourth Proportional to 42,296.80, 58,275.60 and 27,931.12

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Solution

The fourth proportional to 42,296.80, 58,275.60 and 27,931.12 is: 38,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296.80 : 58,275.60 = 27,931.12 : x
  2. Step 2: Convert to fraction form
    42,296.80/58,275.60 = 27,931.12/x
  3. Step 3: Cross multiply
    42,296.80x = 58,275.60 × 27,931.12
  4. Step 4: Simplify right side
    42,296.80x = 1,627,702,776.67
  5. Step 5: Solve for x
    x = 1,627,702,776.67/42,296.80
  6. Step 6: Final answer
    x = 38,482.88

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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.