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Finding the Fourth Proportional to 88,877.86, 122,652.87 and 53,071

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Solution

The fourth proportional to 88,877.86, 122,652.87 and 53,071 is: 73,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,877.86 : 122,652.87 = 53,071 : x
  2. Step 2: Convert to fraction form
    88,877.86/122,652.87 = 53,071/x
  3. Step 3: Cross multiply
    88,877.86x = 122,652.87 × 53,071
  4. Step 4: Simplify right side
    88,877.86x = 6,509,310,463.77
  5. Step 5: Solve for x
    x = 6,509,310,463.77/88,877.86
  6. Step 6: Final answer
    x = 73,238.83

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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.