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Finding the Fourth Proportional to 32,602.39, 48,894.17 and 14,823.16

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Solution

The fourth proportional to 32,602.39, 48,894.17 and 14,823.16 is: 22,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.39 : 48,894.17 = 14,823.16 : x
  2. Step 2: Convert to fraction form
    32,602.39/48,894.17 = 14,823.16/x
  3. Step 3: Cross multiply
    32,602.39x = 48,894.17 × 14,823.16
  4. Step 4: Simplify right side
    32,602.39x = 724,765,908.63
  5. Step 5: Solve for x
    x = 724,765,908.63/32,602.39
  6. Step 6: Final answer
    x = 22,230.46

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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.