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Finding the Fourth Proportional to 65,006.40, 97,509.60 and 25,564.80

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Solution

The fourth proportional to 65,006.40, 97,509.60 and 25,564.80 is: 38,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.40 : 97,509.60 = 25,564.80 : x
  2. Step 2: Convert to fraction form
    65,006.40/97,509.60 = 25,564.80/x
  3. Step 3: Cross multiply
    65,006.40x = 97,509.60 × 25,564.80
  4. Step 4: Simplify right side
    65,006.40x = 2,492,813,422.08
  5. Step 5: Solve for x
    x = 2,492,813,422.08/65,006.40
  6. Step 6: Final answer
    x = 38,347.20

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