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Finding the Fourth Proportional to 10,046.98, 15,070.32 and 2,448.35

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Solution

The fourth proportional to 10,046.98, 15,070.32 and 2,448.35 is: 3,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.98 : 15,070.32 = 2,448.35 : x
  2. Step 2: Convert to fraction form
    10,046.98/15,070.32 = 2,448.35/x
  3. Step 3: Cross multiply
    10,046.98x = 15,070.32 × 2,448.35
  4. Step 4: Simplify right side
    10,046.98x = 36,897,455.83
  5. Step 5: Solve for x
    x = 36,897,455.83/10,046.98
  6. Step 6: Final answer
    x = 3,672.49

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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.