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Finding the Fourth Proportional to 32,957.40, 49,444.52 and 9,583.83

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Solution

The fourth proportional to 32,957.40, 49,444.52 and 9,583.83 is: 14,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.40 : 49,444.52 = 9,583.83 : x
  2. Step 2: Convert to fraction form
    32,957.40/49,444.52 = 9,583.83/x
  3. Step 3: Cross multiply
    32,957.40x = 49,444.52 × 9,583.83
  4. Step 4: Simplify right side
    32,957.40x = 473,867,826.19
  5. Step 5: Solve for x
    x = 473,867,826.19/32,957.40
  6. Step 6: Final answer
    x = 14,378.19

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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.