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Finding the Fourth Proportional to 65,530.59, 98,316.59 and 23,409.78

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Solution

The fourth proportional to 65,530.59, 98,316.59 and 23,409.78 is: 35,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530.59 : 98,316.59 = 23,409.78 : x
  2. Step 2: Convert to fraction form
    65,530.59/98,316.59 = 23,409.78/x
  3. Step 3: Cross multiply
    65,530.59x = 98,316.59 × 23,409.78
  4. Step 4: Simplify right side
    65,530.59x = 2,301,569,625.20
  5. Step 5: Solve for x
    x = 2,301,569,625.20/65,530.59
  6. Step 6: Final answer
    x = 35,122.06

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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.