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Finding the Fourth Proportional to 88,416, 122,014.08 and 48,672

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Solution

The fourth proportional to 88,416, 122,014.08 and 48,672 is: 67,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,416 : 122,014.08 = 48,672 : x
  2. Step 2: Convert to fraction form
    88,416/122,014.08 = 48,672/x
  3. Step 3: Cross multiply
    88,416x = 122,014.08 × 48,672
  4. Step 4: Simplify right side
    88,416x = 5,938,669,301.76
  5. Step 5: Solve for x
    x = 5,938,669,301.76/88,416
  6. Step 6: Final answer
    x = 67,167.36

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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.