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Finding the Fourth Proportional to 54,102, 81,152.01 and 24,484.53

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Solution

The fourth proportional to 54,102, 81,152.01 and 24,484.53 is: 36,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102 : 81,152.01 = 24,484.53 : x
  2. Step 2: Convert to fraction form
    54,102/81,152.01 = 24,484.53/x
  3. Step 3: Cross multiply
    54,102x = 81,152.01 × 24,484.53
  4. Step 4: Simplify right side
    54,102x = 1,986,968,823.41
  5. Step 5: Solve for x
    x = 1,986,968,823.41/54,102
  6. Step 6: Final answer
    x = 36,726.35

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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.