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Finding the Fourth Proportional to 98,045.76, 135,309.76 and 55,607.04

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Solution

The fourth proportional to 98,045.76, 135,309.76 and 55,607.04 is: 76,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,045.76 : 135,309.76 = 55,607.04 : x
  2. Step 2: Convert to fraction form
    98,045.76/135,309.76 = 55,607.04/x
  3. Step 3: Cross multiply
    98,045.76x = 135,309.76 × 55,607.04
  4. Step 4: Simplify right side
    98,045.76x = 7,524,175,236.71
  5. Step 5: Solve for x
    x = 7,524,175,236.71/98,045.76
  6. Step 6: Final answer
    x = 76,741.46

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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.