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Finding the Fourth Proportional to 102,386.80, 153,596.40 and 35,825.32

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Solution

The fourth proportional to 102,386.80, 153,596.40 and 35,825.32 is: 53,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.80 : 153,596.40 = 35,825.32 : x
  2. Step 2: Convert to fraction form
    102,386.80/153,596.40 = 35,825.32/x
  3. Step 3: Cross multiply
    102,386.80x = 153,596.40 × 35,825.32
  4. Step 4: Simplify right side
    102,386.80x = 5,502,640,180.85
  5. Step 5: Solve for x
    x = 5,502,640,180.85/102,386.80
  6. Step 6: Final answer
    x = 53,743.65

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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.