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Finding the Fourth Proportional to 52,480.68, 78,697.86 and 15,032.30

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Solution

The fourth proportional to 52,480.68, 78,697.86 and 15,032.30 is: 22,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,480.68 : 78,697.86 = 15,032.30 : x
  2. Step 2: Convert to fraction form
    52,480.68/78,697.86 = 15,032.30/x
  3. Step 3: Cross multiply
    52,480.68x = 78,697.86 × 15,032.30
  4. Step 4: Simplify right side
    52,480.68x = 1,183,009,447.39
  5. Step 5: Solve for x
    x = 1,183,009,447.39/52,480.68
  6. Step 6: Final answer
    x = 22,541.81

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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.