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Finding the Fourth Proportional to 47,148.12, 65,035.85 and 28,021.19

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Solution

The fourth proportional to 47,148.12, 65,035.85 and 28,021.19 is: 38,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.12 : 65,035.85 = 28,021.19 : x
  2. Step 2: Convert to fraction form
    47,148.12/65,035.85 = 28,021.19/x
  3. Step 3: Cross multiply
    47,148.12x = 65,035.85 × 28,021.19
  4. Step 4: Simplify right side
    47,148.12x = 1,822,381,444.38
  5. Step 5: Solve for x
    x = 1,822,381,444.38/47,148.12
  6. Step 6: Final answer
    x = 38,652.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.