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Finding the Fourth Proportional to 29,763.76, 41,047.06 and 19,702.20

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Solution

The fourth proportional to 29,763.76, 41,047.06 and 19,702.20 is: 27,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763.76 : 41,047.06 = 19,702.20 : x
  2. Step 2: Convert to fraction form
    29,763.76/41,047.06 = 19,702.20/x
  3. Step 3: Cross multiply
    29,763.76x = 41,047.06 × 19,702.20
  4. Step 4: Simplify right side
    29,763.76x = 808,717,385.53
  5. Step 5: Solve for x
    x = 808,717,385.53/29,763.76
  6. Step 6: Final answer
    x = 27,171.21

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1.5x scale

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.