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Finding the Fourth Proportional to 102,435.61, 153,617.88 and 35,874.27

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Solution

The fourth proportional to 102,435.61, 153,617.88 and 35,874.27 is: 53,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435.61 : 153,617.88 = 35,874.27 : x
  2. Step 2: Convert to fraction form
    102,435.61/153,617.88 = 35,874.27/x
  3. Step 3: Cross multiply
    102,435.61x = 153,617.88 × 35,874.27
  4. Step 4: Simplify right side
    102,435.61x = 5,510,929,303.95
  5. Step 5: Solve for x
    x = 5,510,929,303.95/102,435.61
  6. Step 6: Final answer
    x = 53,798.96

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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.