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Finding the Fourth Proportional to 65,093.31, 89,780.52 and 45,953.13

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Solution

The fourth proportional to 65,093.31, 89,780.52 and 45,953.13 is: 63,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.31 : 89,780.52 = 45,953.13 : x
  2. Step 2: Convert to fraction form
    65,093.31/89,780.52 = 45,953.13/x
  3. Step 3: Cross multiply
    65,093.31x = 89,780.52 × 45,953.13
  4. Step 4: Simplify right side
    65,093.31x = 4,125,695,742.67
  5. Step 5: Solve for x
    x = 4,125,695,742.67/65,093.31
  6. Step 6: Final answer
    x = 63,381.26

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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.