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Finding the Fourth Proportional to 77,116.81, 115,655.76 and 37,096.33

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Solution

The fourth proportional to 77,116.81, 115,655.76 and 37,096.33 is: 55,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.81 : 115,655.76 = 37,096.33 : x
  2. Step 2: Convert to fraction form
    77,116.81/115,655.76 = 37,096.33/x
  3. Step 3: Cross multiply
    77,116.81x = 115,655.76 × 37,096.33
  4. Step 4: Simplify right side
    77,116.81x = 4,290,404,239.36
  5. Step 5: Solve for x
    x = 4,290,404,239.36/77,116.81
  6. Step 6: Final answer
    x = 55,635.14

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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.