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Finding the Fourth Proportional to 76,810.58, 115,215.87 and 24,224.16

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Solution

The fourth proportional to 76,810.58, 115,215.87 and 24,224.16 is: 36,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.58 : 115,215.87 = 24,224.16 : x
  2. Step 2: Convert to fraction form
    76,810.58/115,215.87 = 24,224.16/x
  3. Step 3: Cross multiply
    76,810.58x = 115,215.87 × 24,224.16
  4. Step 4: Simplify right side
    76,810.58x = 2,791,007,669.42
  5. Step 5: Solve for x
    x = 2,791,007,669.42/76,810.58
  6. Step 6: Final answer
    x = 36,336.24

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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.