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Finding the Fourth Proportional to 98,038, 147,078.87 and 35,708.50

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Solution

The fourth proportional to 98,038, 147,078.87 and 35,708.50 is: 53,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,038 : 147,078.87 = 35,708.50 : x
  2. Step 2: Convert to fraction form
    98,038/147,078.87 = 35,708.50/x
  3. Step 3: Cross multiply
    98,038x = 147,078.87 × 35,708.50
  4. Step 4: Simplify right side
    98,038x = 5,251,965,829.40
  5. Step 5: Solve for x
    x = 5,251,965,829.40/98,038
  6. Step 6: Final answer
    x = 53,570.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.