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Finding the Fourth Proportional to 58,492.60, 87,836.10 and 32,216.20

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Solution

The fourth proportional to 58,492.60, 87,836.10 and 32,216.20 is: 48,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,492.60 : 87,836.10 = 32,216.20 : x
  2. Step 2: Convert to fraction form
    58,492.60/87,836.10 = 32,216.20/x
  3. Step 3: Cross multiply
    58,492.60x = 87,836.10 × 32,216.20
  4. Step 4: Simplify right side
    58,492.60x = 2,829,745,364.82
  5. Step 5: Solve for x
    x = 2,829,745,364.82/58,492.60
  6. Step 6: Final answer
    x = 48,377.84

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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.