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Finding the Fourth Proportional to 33,117.84, 45,702.96 and 18,970.40

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Solution

The fourth proportional to 33,117.84, 45,702.96 and 18,970.40 is: 26,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.84 : 45,702.96 = 18,970.40 : x
  2. Step 2: Convert to fraction form
    33,117.84/45,702.96 = 18,970.40/x
  3. Step 3: Cross multiply
    33,117.84x = 45,702.96 × 18,970.40
  4. Step 4: Simplify right side
    33,117.84x = 867,003,432.38
  5. Step 5: Solve for x
    x = 867,003,432.38/33,117.84
  6. Step 6: Final answer
    x = 26,179.35

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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.