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Finding the Fourth Proportional to 76,798.56, 105,981.84 and 43,264.32

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Solution

The fourth proportional to 76,798.56, 105,981.84 and 43,264.32 is: 59,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.56 : 105,981.84 = 43,264.32 : x
  2. Step 2: Convert to fraction form
    76,798.56/105,981.84 = 43,264.32/x
  3. Step 3: Cross multiply
    76,798.56x = 105,981.84 × 43,264.32
  4. Step 4: Simplify right side
    76,798.56x = 4,585,232,239.95
  5. Step 5: Solve for x
    x = 4,585,232,239.95/76,798.56
  6. Step 6: Final answer
    x = 59,704.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.