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Finding the Fourth Proportional to 44,588, 61,531.44 and 24,716

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Solution

The fourth proportional to 44,588, 61,531.44 and 24,716 is: 34,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,588 : 61,531.44 = 24,716 : x
  2. Step 2: Convert to fraction form
    44,588/61,531.44 = 24,716/x
  3. Step 3: Cross multiply
    44,588x = 61,531.44 × 24,716
  4. Step 4: Simplify right side
    44,588x = 1,520,811,071.04
  5. Step 5: Solve for x
    x = 1,520,811,071.04/44,588
  6. Step 6: Final answer
    x = 34,108.08

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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.