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Finding the Fourth Proportional to 47,577.72, 65,656.35 and 26,357.16

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Solution

The fourth proportional to 47,577.72, 65,656.35 and 26,357.16 is: 36,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577.72 : 65,656.35 = 26,357.16 : x
  2. Step 2: Convert to fraction form
    47,577.72/65,656.35 = 26,357.16/x
  3. Step 3: Cross multiply
    47,577.72x = 65,656.35 × 26,357.16
  4. Step 4: Simplify right side
    47,577.72x = 1,730,514,921.97
  5. Step 5: Solve for x
    x = 1,730,514,921.97/47,577.72
  6. Step 6: Final answer
    x = 36,372.38

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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.