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Finding the Fourth Proportional to 98,045.38, 135,316.65 and 55,029.46

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Solution

The fourth proportional to 98,045.38, 135,316.65 and 55,029.46 is: 75,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,045.38 : 135,316.65 = 55,029.46 : x
  2. Step 2: Convert to fraction form
    98,045.38/135,316.65 = 55,029.46/x
  3. Step 3: Cross multiply
    98,045.38x = 135,316.65 × 55,029.46
  4. Step 4: Simplify right side
    98,045.38x = 7,446,402,178.51
  5. Step 5: Solve for x
    x = 7,446,402,178.51/98,045.38
  6. Step 6: Final answer
    x = 75,948.53

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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.