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Finding the Fourth Proportional to 98,269.74, 135,615.87 and 55,835.46

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Solution

The fourth proportional to 98,269.74, 135,615.87 and 55,835.46 is: 77,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,269.74 : 135,615.87 = 55,835.46 : x
  2. Step 2: Convert to fraction form
    98,269.74/135,615.87 = 55,835.46/x
  3. Step 3: Cross multiply
    98,269.74x = 135,615.87 × 55,835.46
  4. Step 4: Simplify right side
    98,269.74x = 7,572,174,484.75
  5. Step 5: Solve for x
    x = 7,572,174,484.75/98,269.74
  6. Step 6: Final answer
    x = 77,055.00

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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.