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Finding the Fourth Proportional to 44,352, 61,205.84 and 24,480

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Solution

The fourth proportional to 44,352, 61,205.84 and 24,480 is: 33,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,352 : 61,205.84 = 24,480 : x
  2. Step 2: Convert to fraction form
    44,352/61,205.84 = 24,480/x
  3. Step 3: Cross multiply
    44,352x = 61,205.84 × 24,480
  4. Step 4: Simplify right side
    44,352x = 1,498,318,963.20
  5. Step 5: Solve for x
    x = 1,498,318,963.20/44,352
  6. Step 6: Final answer
    x = 33,782.44

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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.