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Finding the Fourth Proportional to 55,046.34, 75,936.16 and 32,370.90

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Solution

The fourth proportional to 55,046.34, 75,936.16 and 32,370.90 is: 44,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,046.34 : 75,936.16 = 32,370.90 : x
  2. Step 2: Convert to fraction form
    55,046.34/75,936.16 = 32,370.90/x
  3. Step 3: Cross multiply
    55,046.34x = 75,936.16 × 32,370.90
  4. Step 4: Simplify right side
    55,046.34x = 2,458,121,841.74
  5. Step 5: Solve for x
    x = 2,458,121,841.74/55,046.34
  6. Step 6: Final answer
    x = 44,655.50

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1.5x scale

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.