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Finding the Fourth Proportional to 32,957.76, 49,441.59 and 9,581.16

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Solution

The fourth proportional to 32,957.76, 49,441.59 and 9,581.16 is: 14,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.76 : 49,441.59 = 9,581.16 : x
  2. Step 2: Convert to fraction form
    32,957.76/49,441.59 = 9,581.16/x
  3. Step 3: Cross multiply
    32,957.76x = 49,441.59 × 9,581.16
  4. Step 4: Simplify right side
    32,957.76x = 473,707,784.44
  5. Step 5: Solve for x
    x = 473,707,784.44/32,957.76
  6. Step 6: Final answer
    x = 14,373.18

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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.