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Finding the Fourth Proportional to 32,963.66, 49,446.85 and 9,590.10

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Solution

The fourth proportional to 32,963.66, 49,446.85 and 9,590.10 is: 14,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.66 : 49,446.85 = 9,590.10 : x
  2. Step 2: Convert to fraction form
    32,963.66/49,446.85 = 9,590.10/x
  3. Step 3: Cross multiply
    32,963.66x = 49,446.85 × 9,590.10
  4. Step 4: Simplify right side
    32,963.66x = 474,199,941.00
  5. Step 5: Solve for x
    x = 474,199,941.00/32,963.66
  6. Step 6: Final answer
    x = 14,385.54

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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.