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Finding the Fourth Proportional to 55,765.56, 76,955.76 and 30,615.06

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Solution

The fourth proportional to 55,765.56, 76,955.76 and 30,615.06 is: 42,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,765.56 : 76,955.76 = 30,615.06 : x
  2. Step 2: Convert to fraction form
    55,765.56/76,955.76 = 30,615.06/x
  3. Step 3: Cross multiply
    55,765.56x = 76,955.76 × 30,615.06
  4. Step 4: Simplify right side
    55,765.56x = 2,356,005,209.75
  5. Step 5: Solve for x
    x = 2,356,005,209.75/55,765.56
  6. Step 6: Final answer
    x = 42,248.39

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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.