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Finding the Fourth Proportional to 44,009.13, 65,856 and 38,106.39

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Solution

The fourth proportional to 44,009.13, 65,856 and 38,106.39 is: 57,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,009.13 : 65,856 = 38,106.39 : x
  2. Step 2: Convert to fraction form
    44,009.13/65,856 = 38,106.39/x
  3. Step 3: Cross multiply
    44,009.13x = 65,856 × 38,106.39
  4. Step 4: Simplify right side
    44,009.13x = 2,509,534,419.84
  5. Step 5: Solve for x
    x = 2,509,534,419.84/44,009.13
  6. Step 6: Final answer
    x = 57,023.04

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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.