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Finding the Fourth Proportional to 98,058.33, 147,080.16 and 34,875.90

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Solution

The fourth proportional to 98,058.33, 147,080.16 and 34,875.90 is: 52,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058.33 : 147,080.16 = 34,875.90 : x
  2. Step 2: Convert to fraction form
    98,058.33/147,080.16 = 34,875.90/x
  3. Step 3: Cross multiply
    98,058.33x = 147,080.16 × 34,875.90
  4. Step 4: Simplify right side
    98,058.33x = 5,129,552,952.14
  5. Step 5: Solve for x
    x = 5,129,552,952.14/98,058.33
  6. Step 6: Final answer
    x = 52,311.24

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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.