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Finding the Fourth Proportional to 47,031.16, 64,903 and 25,810.42

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Solution

The fourth proportional to 47,031.16, 64,903 and 25,810.42 is: 35,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,031.16 : 64,903 = 25,810.42 : x
  2. Step 2: Convert to fraction form
    47,031.16/64,903 = 25,810.42/x
  3. Step 3: Cross multiply
    47,031.16x = 64,903 × 25,810.42
  4. Step 4: Simplify right side
    47,031.16x = 1,675,173,689.26
  5. Step 5: Solve for x
    x = 1,675,173,689.26/47,031.16
  6. Step 6: Final answer
    x = 35,618.38

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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.