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Finding the Fourth Proportional to 98,541.66, 135,978.56 and 55,528.15

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Solution

The fourth proportional to 98,541.66, 135,978.56 and 55,528.15 is: 76,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541.66 : 135,978.56 = 55,528.15 : x
  2. Step 2: Convert to fraction form
    98,541.66/135,978.56 = 55,528.15/x
  3. Step 3: Cross multiply
    98,541.66x = 135,978.56 × 55,528.15
  4. Step 4: Simplify right side
    98,541.66x = 7,550,637,876.46
  5. Step 5: Solve for x
    x = 7,550,637,876.46/98,541.66
  6. Step 6: Final answer
    x = 76,623.81

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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.