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Finding the Fourth Proportional to 32,964.47, 49,454.90 and 9,590.91

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Solution

The fourth proportional to 32,964.47, 49,454.90 and 9,590.91 is: 14,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.47 : 49,454.90 = 9,590.91 : x
  2. Step 2: Convert to fraction form
    32,964.47/49,454.90 = 9,590.91/x
  3. Step 3: Cross multiply
    32,964.47x = 49,454.90 × 9,590.91
  4. Step 4: Simplify right side
    32,964.47x = 474,317,351.46
  5. Step 5: Solve for x
    x = 474,317,351.46/32,964.47
  6. Step 6: Final answer
    x = 14,388.75

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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.