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Finding the Fourth Proportional to 38,107.60, 52,590.36 and 23,000

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Solution

The fourth proportional to 38,107.60, 52,590.36 and 23,000 is: 31,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107.60 : 52,590.36 = 23,000 : x
  2. Step 2: Convert to fraction form
    38,107.60/52,590.36 = 23,000/x
  3. Step 3: Cross multiply
    38,107.60x = 52,590.36 × 23,000
  4. Step 4: Simplify right side
    38,107.60x = 1,209,578,280
  5. Step 5: Solve for x
    x = 1,209,578,280/38,107.60
  6. Step 6: Final answer
    x = 31,741.13

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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.