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Finding the Fourth Proportional to 77,112.56, 115,666.68 and 24,525.20

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Solution

The fourth proportional to 77,112.56, 115,666.68 and 24,525.20 is: 36,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112.56 : 115,666.68 = 24,525.20 : x
  2. Step 2: Convert to fraction form
    77,112.56/115,666.68 = 24,525.20/x
  3. Step 3: Cross multiply
    77,112.56x = 115,666.68 × 24,525.20
  4. Step 4: Simplify right side
    77,112.56x = 2,836,748,460.34
  5. Step 5: Solve for x
    x = 2,836,748,460.34/77,112.56
  6. Step 6: Final answer
    x = 36,787.11

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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.