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Finding the Fourth Proportional to 345,349, 518,052.84 and 96,031

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Solution

The fourth proportional to 345,349, 518,052.84 and 96,031 is: 144,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,349 : 518,052.84 = 96,031 : x
  2. Step 2: Convert to fraction form
    345,349/518,052.84 = 96,031/x
  3. Step 3: Cross multiply
    345,349x = 518,052.84 × 96,031
  4. Step 4: Simplify right side
    345,349x = 49,749,132,278.04
  5. Step 5: Solve for x
    x = 49,749,132,278.04/345,349
  6. Step 6: Final answer
    x = 144,054.66

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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.