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Finding the Fourth Proportional to 32,752.64, 49,170 and 26,259.68

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Solution

The fourth proportional to 32,752.64, 49,170 and 26,259.68 is: 39,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.64 : 49,170 = 26,259.68 : x
  2. Step 2: Convert to fraction form
    32,752.64/49,170 = 26,259.68/x
  3. Step 3: Cross multiply
    32,752.64x = 49,170 × 26,259.68
  4. Step 4: Simplify right side
    32,752.64x = 1,291,188,465.60
  5. Step 5: Solve for x
    x = 1,291,188,465.60/32,752.64
  6. Step 6: Final answer
    x = 39,422.42

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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.