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Finding the Fourth Proportional to 77,959.42, 107,633.19 and 54,077.74

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Solution

The fourth proportional to 77,959.42, 107,633.19 and 54,077.74 is: 74,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,959.42 : 107,633.19 = 54,077.74 : x
  2. Step 2: Convert to fraction form
    77,959.42/107,633.19 = 54,077.74/x
  3. Step 3: Cross multiply
    77,959.42x = 107,633.19 × 54,077.74
  4. Step 4: Simplify right side
    77,959.42x = 5,820,559,664.19
  5. Step 5: Solve for x
    x = 5,820,559,664.19/77,959.42
  6. Step 6: Final answer
    x = 74,661.40

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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.