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Finding the Fourth Proportional to 24,032.75, 35,978.13 and 17,751.04

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Solution

The fourth proportional to 24,032.75, 35,978.13 and 17,751.04 is: 26,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.75 : 35,978.13 = 17,751.04 : x
  2. Step 2: Convert to fraction form
    24,032.75/35,978.13 = 17,751.04/x
  3. Step 3: Cross multiply
    24,032.75x = 35,978.13 × 17,751.04
  4. Step 4: Simplify right side
    24,032.75x = 638,649,134.81
  5. Step 5: Solve for x
    x = 638,649,134.81/24,032.75
  6. Step 6: Final answer
    x = 26,574.12

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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.