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Finding the Fourth Proportional to 58,140.30, 80,237.16 and 32,655

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Solution

The fourth proportional to 58,140.30, 80,237.16 and 32,655 is: 45,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140.30 : 80,237.16 = 32,655 : x
  2. Step 2: Convert to fraction form
    58,140.30/80,237.16 = 32,655/x
  3. Step 3: Cross multiply
    58,140.30x = 80,237.16 × 32,655
  4. Step 4: Simplify right side
    58,140.30x = 2,620,144,459.80
  5. Step 5: Solve for x
    x = 2,620,144,459.80/58,140.30
  6. Step 6: Final answer
    x = 45,065.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.