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Finding the Fourth Proportional to 77,967.84, 107,613.36 and 46,155.36

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Solution

The fourth proportional to 77,967.84, 107,613.36 and 46,155.36 is: 63,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.84 : 107,613.36 = 46,155.36 : x
  2. Step 2: Convert to fraction form
    77,967.84/107,613.36 = 46,155.36/x
  3. Step 3: Cross multiply
    77,967.84x = 107,613.36 × 46,155.36
  4. Step 4: Simplify right side
    77,967.84x = 4,966,933,371.61
  5. Step 5: Solve for x
    x = 4,966,933,371.61/77,967.84
  6. Step 6: Final answer
    x = 63,704.90

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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.