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Finding the Fourth Proportional to 98,386.47, 135,772.69 and 55,945

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Solution

The fourth proportional to 98,386.47, 135,772.69 and 55,945 is: 77,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,386.47 : 135,772.69 = 55,945 : x
  2. Step 2: Convert to fraction form
    98,386.47/135,772.69 = 55,945/x
  3. Step 3: Cross multiply
    98,386.47x = 135,772.69 × 55,945
  4. Step 4: Simplify right side
    98,386.47x = 7,595,803,142.05
  5. Step 5: Solve for x
    x = 7,595,803,142.05/98,386.47
  6. Step 6: Final answer
    x = 77,203.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.