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Finding the Fourth Proportional to 32,751.90, 49,124.07 and 9,061.16

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Solution

The fourth proportional to 32,751.90, 49,124.07 and 9,061.16 is: 13,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.90 : 49,124.07 = 9,061.16 : x
  2. Step 2: Convert to fraction form
    32,751.90/49,124.07 = 9,061.16/x
  3. Step 3: Cross multiply
    32,751.90x = 49,124.07 × 9,061.16
  4. Step 4: Simplify right side
    32,751.90x = 445,120,812.50
  5. Step 5: Solve for x
    x = 445,120,812.50/32,751.90
  6. Step 6: Final answer
    x = 13,590.69

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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.