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Finding the Fourth Proportional to 77,779.32, 107,343.51 and 47,584.74

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Solution

The fourth proportional to 77,779.32, 107,343.51 and 47,584.74 is: 65,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.32 : 107,343.51 = 47,584.74 : x
  2. Step 2: Convert to fraction form
    77,779.32/107,343.51 = 47,584.74/x
  3. Step 3: Cross multiply
    77,779.32x = 107,343.51 × 47,584.74
  4. Step 4: Simplify right side
    77,779.32x = 5,107,913,014.04
  5. Step 5: Solve for x
    x = 5,107,913,014.04/77,779.32
  6. Step 6: Final answer
    x = 65,671.87

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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.