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Finding the Fourth Proportional to 70,242.92, 105,226.14 and 46,534.76

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Solution

The fourth proportional to 70,242.92, 105,226.14 and 46,534.76 is: 69,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242.92 : 105,226.14 = 46,534.76 : x
  2. Step 2: Convert to fraction form
    70,242.92/105,226.14 = 46,534.76/x
  3. Step 3: Cross multiply
    70,242.92x = 105,226.14 × 46,534.76
  4. Step 4: Simplify right side
    70,242.92x = 4,896,673,170.63
  5. Step 5: Solve for x
    x = 4,896,673,170.63/70,242.92
  6. Step 6: Final answer
    x = 69,710.56

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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.