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Finding the Fourth Proportional to 63,878.50, 88,105.11 and 46,877

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Solution

The fourth proportional to 63,878.50, 88,105.11 and 46,877 is: 64,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,878.50 : 88,105.11 = 46,877 : x
  2. Step 2: Convert to fraction form
    63,878.50/88,105.11 = 46,877/x
  3. Step 3: Cross multiply
    63,878.50x = 88,105.11 × 46,877
  4. Step 4: Simplify right side
    63,878.50x = 4,130,103,241.47
  5. Step 5: Solve for x
    x = 4,130,103,241.47/63,878.50
  6. Step 6: Final answer
    x = 64,655.61

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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.