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Finding the Fourth Proportional to 38,077.06, 52,539.06 and 24,646.46

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Solution

The fourth proportional to 38,077.06, 52,539.06 and 24,646.46 is: 34,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077.06 : 52,539.06 = 24,646.46 : x
  2. Step 2: Convert to fraction form
    38,077.06/52,539.06 = 24,646.46/x
  3. Step 3: Cross multiply
    38,077.06x = 52,539.06 × 24,646.46
  4. Step 4: Simplify right side
    38,077.06x = 1,294,901,840.73
  5. Step 5: Solve for x
    x = 1,294,901,840.73/38,077.06
  6. Step 6: Final answer
    x = 34,007.40

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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.