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Finding the Fourth Proportional to 69,095.16, 103,698.58 and 35,824.74

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Solution

The fourth proportional to 69,095.16, 103,698.58 and 35,824.74 is: 53,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.16 : 103,698.58 = 35,824.74 : x
  2. Step 2: Convert to fraction form
    69,095.16/103,698.58 = 35,824.74/x
  3. Step 3: Cross multiply
    69,095.16x = 103,698.58 × 35,824.74
  4. Step 4: Simplify right side
    69,095.16x = 3,714,974,666.87
  5. Step 5: Solve for x
    x = 3,714,974,666.87/69,095.16
  6. Step 6: Final answer
    x = 53,766.06

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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.