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Finding the Fourth Proportional to 77,403.60, 115,959.60 and 39,835.80

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Solution

The fourth proportional to 77,403.60, 115,959.60 and 39,835.80 is: 59,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403.60 : 115,959.60 = 39,835.80 : x
  2. Step 2: Convert to fraction form
    77,403.60/115,959.60 = 39,835.80/x
  3. Step 3: Cross multiply
    77,403.60x = 115,959.60 × 39,835.80
  4. Step 4: Simplify right side
    77,403.60x = 4,619,343,433.68
  5. Step 5: Solve for x
    x = 4,619,343,433.68/77,403.60
  6. Step 6: Final answer
    x = 59,678.66

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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.