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Finding the Fourth Proportional to 98,031.42, 147,003.12 and 27,894.06

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Solution

The fourth proportional to 98,031.42, 147,003.12 and 27,894.06 is: 41,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,031.42 : 147,003.12 = 27,894.06 : x
  2. Step 2: Convert to fraction form
    98,031.42/147,003.12 = 27,894.06/x
  3. Step 3: Cross multiply
    98,031.42x = 147,003.12 × 27,894.06
  4. Step 4: Simplify right side
    98,031.42x = 4,100,513,849.47
  5. Step 5: Solve for x
    x = 4,100,513,849.47/98,031.42
  6. Step 6: Final answer
    x = 41,828.57

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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.