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Finding the Fourth Proportional to 77,206.60, 115,809.90 and 37,840.60

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Solution

The fourth proportional to 77,206.60, 115,809.90 and 37,840.60 is: 56,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.60 : 115,809.90 = 37,840.60 : x
  2. Step 2: Convert to fraction form
    77,206.60/115,809.90 = 37,840.60/x
  3. Step 3: Cross multiply
    77,206.60x = 115,809.90 × 37,840.60
  4. Step 4: Simplify right side
    77,206.60x = 4,382,316,101.94
  5. Step 5: Solve for x
    x = 4,382,316,101.94/77,206.60
  6. Step 6: Final answer
    x = 56,760.90

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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.