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Finding the Fourth Proportional to 78,077.52, 116,980.20 and 46,843.92

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Solution

The fourth proportional to 78,077.52, 116,980.20 and 46,843.92 is: 70,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.52 : 116,980.20 = 46,843.92 : x
  2. Step 2: Convert to fraction form
    78,077.52/116,980.20 = 46,843.92/x
  3. Step 3: Cross multiply
    78,077.52x = 116,980.20 × 46,843.92
  4. Step 4: Simplify right side
    78,077.52x = 5,479,811,130.38
  5. Step 5: Solve for x
    x = 5,479,811,130.38/78,077.52
  6. Step 6: Final answer
    x = 70,184.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.