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Finding the Fourth Proportional to 44,534.32, 61,317.48 and 37,806

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Solution

The fourth proportional to 44,534.32, 61,317.48 and 37,806 is: 52,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,534.32 : 61,317.48 = 37,806 : x
  2. Step 2: Convert to fraction form
    44,534.32/61,317.48 = 37,806/x
  3. Step 3: Cross multiply
    44,534.32x = 61,317.48 × 37,806
  4. Step 4: Simplify right side
    44,534.32x = 2,318,168,648.88
  5. Step 5: Solve for x
    x = 2,318,168,648.88/44,534.32
  6. Step 6: Final answer
    x = 52,053.53

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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.