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Finding the Fourth Proportional to 32,214.60, 48,319.88 and 10,026.27

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Solution

The fourth proportional to 32,214.60, 48,319.88 and 10,026.27 is: 15,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.60 : 48,319.88 = 10,026.27 : x
  2. Step 2: Convert to fraction form
    32,214.60/48,319.88 = 10,026.27/x
  3. Step 3: Cross multiply
    32,214.60x = 48,319.88 × 10,026.27
  4. Step 4: Simplify right side
    32,214.60x = 484,468,113.12
  5. Step 5: Solve for x
    x = 484,468,113.12/32,214.60
  6. Step 6: Final answer
    x = 15,038.77

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