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Finding the Fourth Proportional to 101,598.16, 152,407.26 and 35,029.52

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Solution

The fourth proportional to 101,598.16, 152,407.26 and 35,029.52 is: 52,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598.16 : 152,407.26 = 35,029.52 : x
  2. Step 2: Convert to fraction form
    101,598.16/152,407.26 = 35,029.52/x
  3. Step 3: Cross multiply
    101,598.16x = 152,407.26 × 35,029.52
  4. Step 4: Simplify right side
    101,598.16x = 5,338,753,162.32
  5. Step 5: Solve for x
    x = 5,338,753,162.32/101,598.16
  6. Step 6: Final answer
    x = 52,547.73

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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.