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Finding the Fourth Proportional to 65,045.40, 97,568.10 and 25,603.80

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Solution

The fourth proportional to 65,045.40, 97,568.10 and 25,603.80 is: 38,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045.40 : 97,568.10 = 25,603.80 : x
  2. Step 2: Convert to fraction form
    65,045.40/97,568.10 = 25,603.80/x
  3. Step 3: Cross multiply
    65,045.40x = 97,568.10 × 25,603.80
  4. Step 4: Simplify right side
    65,045.40x = 2,498,114,118.78
  5. Step 5: Solve for x
    x = 2,498,114,118.78/65,045.40
  6. Step 6: Final answer
    x = 38,405.70

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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.