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Finding the Fourth Proportional to 65,307.08, 97,901.90 and 23,725

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Solution

The fourth proportional to 65,307.08, 97,901.90 and 23,725 is: 35,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.08 : 97,901.90 = 23,725 : x
  2. Step 2: Convert to fraction form
    65,307.08/97,901.90 = 23,725/x
  3. Step 3: Cross multiply
    65,307.08x = 97,901.90 × 23,725
  4. Step 4: Simplify right side
    65,307.08x = 2,322,722,577.50
  5. Step 5: Solve for x
    x = 2,322,722,577.50/65,307.08
  6. Step 6: Final answer
    x = 35,566.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.