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Finding the Fourth Proportional to 77,062.80, 115,594.20 and 47,384.40

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Solution

The fourth proportional to 77,062.80, 115,594.20 and 47,384.40 is: 71,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.80 : 115,594.20 = 47,384.40 : x
  2. Step 2: Convert to fraction form
    77,062.80/115,594.20 = 47,384.40/x
  3. Step 3: Cross multiply
    77,062.80x = 115,594.20 × 47,384.40
  4. Step 4: Simplify right side
    77,062.80x = 5,477,361,810.48
  5. Step 5: Solve for x
    x = 5,477,361,810.48/77,062.80
  6. Step 6: Final answer
    x = 71,076.60

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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.