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Finding the Fourth Proportional to 70,498.82, 97,293.51 and 40,283.46

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Solution

The fourth proportional to 70,498.82, 97,293.51 and 40,283.46 is: 55,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.82 : 97,293.51 = 40,283.46 : x
  2. Step 2: Convert to fraction form
    70,498.82/97,293.51 = 40,283.46/x
  3. Step 3: Cross multiply
    70,498.82x = 97,293.51 × 40,283.46
  4. Step 4: Simplify right side
    70,498.82x = 3,919,319,218.34
  5. Step 5: Solve for x
    x = 3,919,319,218.34/70,498.82
  6. Step 6: Final answer
    x = 55,594.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.