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Finding the Fourth Proportional to 88,767, 122,499.54 and 49,023

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Solution

The fourth proportional to 88,767, 122,499.54 and 49,023 is: 67,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,767 : 122,499.54 = 49,023 : x
  2. Step 2: Convert to fraction form
    88,767/122,499.54 = 49,023/x
  3. Step 3: Cross multiply
    88,767x = 122,499.54 × 49,023
  4. Step 4: Simplify right side
    88,767x = 6,005,294,949.42
  5. Step 5: Solve for x
    x = 6,005,294,949.42/88,767
  6. Step 6: Final answer
    x = 67,652.34

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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.