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Finding the Fourth Proportional to 71,698.14, 107,477.01 and 40,123.62

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Solution

The fourth proportional to 71,698.14, 107,477.01 and 40,123.62 is: 60,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.14 : 107,477.01 = 40,123.62 : x
  2. Step 2: Convert to fraction form
    71,698.14/107,477.01 = 40,123.62/x
  3. Step 3: Cross multiply
    71,698.14x = 107,477.01 × 40,123.62
  4. Step 4: Simplify right side
    71,698.14x = 4,312,366,707.98
  5. Step 5: Solve for x
    x = 4,312,366,707.98/71,698.14
  6. Step 6: Final answer
    x = 60,146.14

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1.5x scale

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.