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Finding the Fourth Proportional to 32,678.58, 49,016.64 and 9,304.98

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Solution

The fourth proportional to 32,678.58, 49,016.64 and 9,304.98 is: 13,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.58 : 49,016.64 = 9,304.98 : x
  2. Step 2: Convert to fraction form
    32,678.58/49,016.64 = 9,304.98/x
  3. Step 3: Cross multiply
    32,678.58x = 49,016.64 × 9,304.98
  4. Step 4: Simplify right side
    32,678.58x = 456,098,854.87
  5. Step 5: Solve for x
    x = 456,098,854.87/32,678.58
  6. Step 6: Final answer
    x = 13,957.12

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1.5x scale

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.