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Finding the Fourth Proportional to 70,838.85, 97,754.45 and 40,602.49

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Solution

The fourth proportional to 70,838.85, 97,754.45 and 40,602.49 is: 56,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.85 : 97,754.45 = 40,602.49 : x
  2. Step 2: Convert to fraction form
    70,838.85/97,754.45 = 40,602.49/x
  3. Step 3: Cross multiply
    70,838.85x = 97,754.45 × 40,602.49
  4. Step 4: Simplify right side
    70,838.85x = 3,969,074,078.58
  5. Step 5: Solve for x
    x = 3,969,074,078.58/70,838.85
  6. Step 6: Final answer
    x = 56,029.62

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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.