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Finding the Fourth Proportional to 58,672, 80,972.48 and 32,181.12

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Solution

The fourth proportional to 58,672, 80,972.48 and 32,181.12 is: 44,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,672 : 80,972.48 = 32,181.12 : x
  2. Step 2: Convert to fraction form
    58,672/80,972.48 = 32,181.12/x
  3. Step 3: Cross multiply
    58,672x = 80,972.48 × 32,181.12
  4. Step 4: Simplify right side
    58,672x = 2,605,785,095.58
  5. Step 5: Solve for x
    x = 2,605,785,095.58/58,672
  6. Step 6: Final answer
    x = 44,412.75

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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.