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Finding the Fourth Proportional to 58,278.40, 87,386.88 and 25,408

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Solution

The fourth proportional to 58,278.40, 87,386.88 and 25,408 is: 38,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,278.40 : 87,386.88 = 25,408 : x
  2. Step 2: Convert to fraction form
    58,278.40/87,386.88 = 25,408/x
  3. Step 3: Cross multiply
    58,278.40x = 87,386.88 × 25,408
  4. Step 4: Simplify right side
    58,278.40x = 2,220,325,847.04
  5. Step 5: Solve for x
    x = 2,220,325,847.04/58,278.40
  6. Step 6: Final answer
    x = 38,098.61

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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.