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Finding the Fourth Proportional to 92,030.40, 138,045.60 and 54,705.60

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Solution

The fourth proportional to 92,030.40, 138,045.60 and 54,705.60 is: 82,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,030.40 : 138,045.60 = 54,705.60 : x
  2. Step 2: Convert to fraction form
    92,030.40/138,045.60 = 54,705.60/x
  3. Step 3: Cross multiply
    92,030.40x = 138,045.60 × 54,705.60
  4. Step 4: Simplify right side
    92,030.40x = 7,551,867,375.36
  5. Step 5: Solve for x
    x = 7,551,867,375.36/92,030.40
  6. Step 6: Final answer
    x = 82,058.40

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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.