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Finding the Fourth Proportional to 61,531.46, 84,934.51 and 36,046

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Solution

The fourth proportional to 61,531.46, 84,934.51 and 36,046 is: 49,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,531.46 : 84,934.51 = 36,046 : x
  2. Step 2: Convert to fraction form
    61,531.46/84,934.51 = 36,046/x
  3. Step 3: Cross multiply
    61,531.46x = 84,934.51 × 36,046
  4. Step 4: Simplify right side
    61,531.46x = 3,061,549,347.46
  5. Step 5: Solve for x
    x = 3,061,549,347.46/61,531.46
  6. Step 6: Final answer
    x = 49,755.84

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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.