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Finding the Fourth Proportional to 77,122.32, 106,409.48 and 48,446.48

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Solution

The fourth proportional to 77,122.32, 106,409.48 and 48,446.48 is: 66,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122.32 : 106,409.48 = 48,446.48 : x
  2. Step 2: Convert to fraction form
    77,122.32/106,409.48 = 48,446.48/x
  3. Step 3: Cross multiply
    77,122.32x = 106,409.48 × 48,446.48
  4. Step 4: Simplify right side
    77,122.32x = 5,155,164,744.63
  5. Step 5: Solve for x
    x = 5,155,164,744.63/77,122.32
  6. Step 6: Final answer
    x = 66,844.01

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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.