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Finding the Fourth Proportional to 98,037, 147,077.37 and 35,707.50

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Solution

The fourth proportional to 98,037, 147,077.37 and 35,707.50 is: 53,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,037 : 147,077.37 = 35,707.50 : x
  2. Step 2: Convert to fraction form
    98,037/147,077.37 = 35,707.50/x
  3. Step 3: Cross multiply
    98,037x = 147,077.37 × 35,707.50
  4. Step 4: Simplify right side
    98,037x = 5,251,765,189.28
  5. Step 5: Solve for x
    x = 5,251,765,189.28/98,037
  6. Step 6: Final answer
    x = 53,569.22

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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.