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Finding the Fourth Proportional to 47,132.49, 65,038.96 and 27,748.32

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Solution

The fourth proportional to 47,132.49, 65,038.96 and 27,748.32 is: 38,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132.49 : 65,038.96 = 27,748.32 : x
  2. Step 2: Convert to fraction form
    47,132.49/65,038.96 = 27,748.32/x
  3. Step 3: Cross multiply
    47,132.49x = 65,038.96 × 27,748.32
  4. Step 4: Simplify right side
    47,132.49x = 1,804,721,874.55
  5. Step 5: Solve for x
    x = 1,804,721,874.55/47,132.49
  6. Step 6: Final answer
    x = 38,290.40

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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.