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Finding the Fourth Proportional to 25,405.16, 38,099.66 and 23,746.70

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Solution

The fourth proportional to 25,405.16, 38,099.66 and 23,746.70 is: 35,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,405.16 : 38,099.66 = 23,746.70 : x
  2. Step 2: Convert to fraction form
    25,405.16/38,099.66 = 23,746.70/x
  3. Step 3: Cross multiply
    25,405.16x = 38,099.66 × 23,746.70
  4. Step 4: Simplify right side
    25,405.16x = 904,741,196.12
  5. Step 5: Solve for x
    x = 904,741,196.12/25,405.16
  6. Step 6: Final answer
    x = 35,612.50

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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.