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Finding the Fourth Proportional to 44,525, 61,444.50 and 24,653

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Solution

The fourth proportional to 44,525, 61,444.50 and 24,653 is: 34,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,525 : 61,444.50 = 24,653 : x
  2. Step 2: Convert to fraction form
    44,525/61,444.50 = 24,653/x
  3. Step 3: Cross multiply
    44,525x = 61,444.50 × 24,653
  4. Step 4: Simplify right side
    44,525x = 1,514,791,258.50
  5. Step 5: Solve for x
    x = 1,514,791,258.50/44,525
  6. Step 6: Final answer
    x = 34,021.14

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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.