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Finding the Fourth Proportional to 78,457.52, 117,683.52 and 25,865.60

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Solution

The fourth proportional to 78,457.52, 117,683.52 and 25,865.60 is: 38,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.52 : 117,683.52 = 25,865.60 : x
  2. Step 2: Convert to fraction form
    78,457.52/117,683.52 = 25,865.60/x
  3. Step 3: Cross multiply
    78,457.52x = 117,683.52 × 25,865.60
  4. Step 4: Simplify right side
    78,457.52x = 3,043,954,854.91
  5. Step 5: Solve for x
    x = 3,043,954,854.91/78,457.52
  6. Step 6: Final answer
    x = 38,797.49

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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.