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Finding the Fourth Proportional to 60,594, 83,620.08 and 34,098

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Solution

The fourth proportional to 60,594, 83,620.08 and 34,098 is: 47,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,594 : 83,620.08 = 34,098 : x
  2. Step 2: Convert to fraction form
    60,594/83,620.08 = 34,098/x
  3. Step 3: Cross multiply
    60,594x = 83,620.08 × 34,098
  4. Step 4: Simplify right side
    60,594x = 2,851,277,487.84
  5. Step 5: Solve for x
    x = 2,851,277,487.84/60,594
  6. Step 6: Final answer
    x = 47,055.44

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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.