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Finding the Fourth Proportional to 70,596.84, 97,358.64 and 47,969.76

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Solution

The fourth proportional to 70,596.84, 97,358.64 and 47,969.76 is: 66,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596.84 : 97,358.64 = 47,969.76 : x
  2. Step 2: Convert to fraction form
    70,596.84/97,358.64 = 47,969.76/x
  3. Step 3: Cross multiply
    70,596.84x = 97,358.64 × 47,969.76
  4. Step 4: Simplify right side
    70,596.84x = 4,670,270,594.73
  5. Step 5: Solve for x
    x = 4,670,270,594.73/70,596.84
  6. Step 6: Final answer
    x = 66,154.10

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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.