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Finding the Fourth Proportional to 35,874.90, 53,715.15 and 28,098.90

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Solution

The fourth proportional to 35,874.90, 53,715.15 and 28,098.90 is: 42,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.90 : 53,715.15 = 28,098.90 : x
  2. Step 2: Convert to fraction form
    35,874.90/53,715.15 = 28,098.90/x
  3. Step 3: Cross multiply
    35,874.90x = 53,715.15 × 28,098.90
  4. Step 4: Simplify right side
    35,874.90x = 1,509,336,628.34
  5. Step 5: Solve for x
    x = 1,509,336,628.34/35,874.90
  6. Step 6: Final answer
    x = 42,072.22

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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.