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Finding the Fourth Proportional to 45,842.86, 68,764.32 and 14,678.14

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Solution

The fourth proportional to 45,842.86, 68,764.32 and 14,678.14 is: 22,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.86 : 68,764.32 = 14,678.14 : x
  2. Step 2: Convert to fraction form
    45,842.86/68,764.32 = 14,678.14/x
  3. Step 3: Cross multiply
    45,842.86x = 68,764.32 × 14,678.14
  4. Step 4: Simplify right side
    45,842.86x = 1,009,332,315.96
  5. Step 5: Solve for x
    x = 1,009,332,315.96/45,842.86
  6. Step 6: Final answer
    x = 22,017.22

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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.