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Finding the Fourth Proportional to 77,853.81, 107,440.41 and 47,638.59

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Solution

The fourth proportional to 77,853.81, 107,440.41 and 47,638.59 is: 65,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,853.81 : 107,440.41 = 47,638.59 : x
  2. Step 2: Convert to fraction form
    77,853.81/107,440.41 = 47,638.59/x
  3. Step 3: Cross multiply
    77,853.81x = 107,440.41 × 47,638.59
  4. Step 4: Simplify right side
    77,853.81x = 5,118,309,641.42
  5. Step 5: Solve for x
    x = 5,118,309,641.42/77,853.81
  6. Step 6: Final answer
    x = 65,742.57

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1.5x scale

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.