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Finding the Fourth Proportional to 77,746.64, 107,323.46 and 52,267.78

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Solution

The fourth proportional to 77,746.64, 107,323.46 and 52,267.78 is: 72,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746.64 : 107,323.46 = 52,267.78 : x
  2. Step 2: Convert to fraction form
    77,746.64/107,323.46 = 52,267.78/x
  3. Step 3: Cross multiply
    77,746.64x = 107,323.46 × 52,267.78
  4. Step 4: Simplify right side
    77,746.64x = 5,609,559,059.71
  5. Step 5: Solve for x
    x = 5,609,559,059.71/77,746.64
  6. Step 6: Final answer
    x = 72,151.79

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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.