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Finding the Fourth Proportional to 38,188.16, 52,702.08 and 21,422.24

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Solution

The fourth proportional to 38,188.16, 52,702.08 and 21,422.24 is: 29,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188.16 : 52,702.08 = 21,422.24 : x
  2. Step 2: Convert to fraction form
    38,188.16/52,702.08 = 21,422.24/x
  3. Step 3: Cross multiply
    38,188.16x = 52,702.08 × 21,422.24
  4. Step 4: Simplify right side
    38,188.16x = 1,128,996,606.26
  5. Step 5: Solve for x
    x = 1,128,996,606.26/38,188.16
  6. Step 6: Final answer
    x = 29,564.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.