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Finding the Fourth Proportional to 106,547.64, 159,847.46 and 35,470.16

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Solution

The fourth proportional to 106,547.64, 159,847.46 and 35,470.16 is: 53,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.64 : 159,847.46 = 35,470.16 : x
  2. Step 2: Convert to fraction form
    106,547.64/159,847.46 = 35,470.16/x
  3. Step 3: Cross multiply
    106,547.64x = 159,847.46 × 35,470.16
  4. Step 4: Simplify right side
    106,547.64x = 5,669,814,981.79
  5. Step 5: Solve for x
    x = 5,669,814,981.79/106,547.64
  6. Step 6: Final answer
    x = 53,213.90

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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.