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Finding the Fourth Proportional to 102,392.35, 153,657.72 and 35,833.05

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Solution

The fourth proportional to 102,392.35, 153,657.72 and 35,833.05 is: 53,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.35 : 153,657.72 = 35,833.05 : x
  2. Step 2: Convert to fraction form
    102,392.35/153,657.72 = 35,833.05/x
  3. Step 3: Cross multiply
    102,392.35x = 153,657.72 × 35,833.05
  4. Step 4: Simplify right side
    102,392.35x = 5,506,024,763.65
  5. Step 5: Solve for x
    x = 5,506,024,763.65/102,392.35
  6. Step 6: Final answer
    x = 53,773.79

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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.