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Finding the Fourth Proportional to 65,045.88, 97,544.34 and 25,581.42

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Solution

The fourth proportional to 65,045.88, 97,544.34 and 25,581.42 is: 38,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045.88 : 97,544.34 = 25,581.42 : x
  2. Step 2: Convert to fraction form
    65,045.88/97,544.34 = 25,581.42/x
  3. Step 3: Cross multiply
    65,045.88x = 97,544.34 × 25,581.42
  4. Step 4: Simplify right side
    65,045.88x = 2,495,322,730.16
  5. Step 5: Solve for x
    x = 2,495,322,730.16/65,045.88
  6. Step 6: Final answer
    x = 38,362.50

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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.