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Finding the Fourth Proportional to 30,498.60, 45,683.10 and 25,314.60

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Solution

The fourth proportional to 30,498.60, 45,683.10 and 25,314.60 is: 37,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.60 : 45,683.10 = 25,314.60 : x
  2. Step 2: Convert to fraction form
    30,498.60/45,683.10 = 25,314.60/x
  3. Step 3: Cross multiply
    30,498.60x = 45,683.10 × 25,314.60
  4. Step 4: Simplify right side
    30,498.60x = 1,156,449,403.26
  5. Step 5: Solve for x
    x = 1,156,449,403.26/30,498.60
  6. Step 6: Final answer
    x = 37,918.11

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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.