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Finding the Fourth Proportional to 35,722, 49,279.35 and 25,117.48

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Solution

The fourth proportional to 35,722, 49,279.35 and 25,117.48 is: 34,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722 : 49,279.35 = 25,117.48 : x
  2. Step 2: Convert to fraction form
    35,722/49,279.35 = 25,117.48/x
  3. Step 3: Cross multiply
    35,722x = 49,279.35 × 25,117.48
  4. Step 4: Simplify right side
    35,722x = 1,237,773,088.04
  5. Step 5: Solve for x
    x = 1,237,773,088.04/35,722
  6. Step 6: Final answer
    x = 34,650.16

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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.