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Finding the Fourth Proportional to 58,441.60, 87,597.60 and 32,165.20

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Solution

The fourth proportional to 58,441.60, 87,597.60 and 32,165.20 is: 48,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,441.60 : 87,597.60 = 32,165.20 : x
  2. Step 2: Convert to fraction form
    58,441.60/87,597.60 = 32,165.20/x
  3. Step 3: Cross multiply
    58,441.60x = 87,597.60 × 32,165.20
  4. Step 4: Simplify right side
    58,441.60x = 2,817,594,323.52
  5. Step 5: Solve for x
    x = 2,817,594,323.52/58,441.60
  6. Step 6: Final answer
    x = 48,212.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.