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Finding the Fourth Proportional to 98,266.32, 135,606.85 and 55,824.86

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Solution

The fourth proportional to 98,266.32, 135,606.85 and 55,824.86 is: 77,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266.32 : 135,606.85 = 55,824.86 : x
  2. Step 2: Convert to fraction form
    98,266.32/135,606.85 = 55,824.86/x
  3. Step 3: Cross multiply
    98,266.32x = 135,606.85 × 55,824.86
  4. Step 4: Simplify right side
    98,266.32x = 7,570,233,615.75
  5. Step 5: Solve for x
    x = 7,570,233,615.75/98,266.32
  6. Step 6: Final answer
    x = 77,037.93

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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.