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Finding the Fourth Proportional to 58,976, 81,387.36 and 32,480

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Solution

The fourth proportional to 58,976, 81,387.36 and 32,480 is: 44,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,976 : 81,387.36 = 32,480 : x
  2. Step 2: Convert to fraction form
    58,976/81,387.36 = 32,480/x
  3. Step 3: Cross multiply
    58,976x = 81,387.36 × 32,480
  4. Step 4: Simplify right side
    58,976x = 2,643,461,452.80
  5. Step 5: Solve for x
    x = 2,643,461,452.80/58,976
  6. Step 6: Final answer
    x = 44,822.66

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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.