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Finding the Fourth Proportional to 75,308.40, 112,948.02 and 25,383.24

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Solution

The fourth proportional to 75,308.40, 112,948.02 and 25,383.24 is: 38,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.40 : 112,948.02 = 25,383.24 : x
  2. Step 2: Convert to fraction form
    75,308.40/112,948.02 = 25,383.24/x
  3. Step 3: Cross multiply
    75,308.40x = 112,948.02 × 25,383.24
  4. Step 4: Simplify right side
    75,308.40x = 2,866,986,699.18
  5. Step 5: Solve for x
    x = 2,866,986,699.18/75,308.40
  6. Step 6: Final answer
    x = 38,069.95

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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.