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Finding the Fourth Proportional to 98,002.32, 146,968.92 and 42,568.08

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Solution

The fourth proportional to 98,002.32, 146,968.92 and 42,568.08 is: 63,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002.32 : 146,968.92 = 42,568.08 : x
  2. Step 2: Convert to fraction form
    98,002.32/146,968.92 = 42,568.08/x
  3. Step 3: Cross multiply
    98,002.32x = 146,968.92 × 42,568.08
  4. Step 4: Simplify right side
    98,002.32x = 6,256,184,744.07
  5. Step 5: Solve for x
    x = 6,256,184,744.07/98,002.32
  6. Step 6: Final answer
    x = 63,837.11

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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.