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Finding the Fourth Proportional to 32,141.18, 48,210.96 and 9,953.66

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Solution

The fourth proportional to 32,141.18, 48,210.96 and 9,953.66 is: 14,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.18 : 48,210.96 = 9,953.66 : x
  2. Step 2: Convert to fraction form
    32,141.18/48,210.96 = 9,953.66/x
  3. Step 3: Cross multiply
    32,141.18x = 48,210.96 × 9,953.66
  4. Step 4: Simplify right side
    32,141.18x = 479,875,504.11
  5. Step 5: Solve for x
    x = 479,875,504.11/32,141.18
  6. Step 6: Final answer
    x = 14,930.24

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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.