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Finding the Fourth Proportional to 42,265.36, 58,328.04 and 25,498

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Solution

The fourth proportional to 42,265.36, 58,328.04 and 25,498 is: 35,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.36 : 58,328.04 = 25,498 : x
  2. Step 2: Convert to fraction form
    42,265.36/58,328.04 = 25,498/x
  3. Step 3: Cross multiply
    42,265.36x = 58,328.04 × 25,498
  4. Step 4: Simplify right side
    42,265.36x = 1,487,248,363.92
  5. Step 5: Solve for x
    x = 1,487,248,363.92/42,265.36
  6. Step 6: Final answer
    x = 35,188.35

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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.