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Finding the Fourth Proportional to 114,432.30, 171,664.65 and 35,538.30

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Solution

The fourth proportional to 114,432.30, 171,664.65 and 35,538.30 is: 53,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432.30 : 171,664.65 = 35,538.30 : x
  2. Step 2: Convert to fraction form
    114,432.30/171,664.65 = 35,538.30/x
  3. Step 3: Cross multiply
    114,432.30x = 171,664.65 × 35,538.30
  4. Step 4: Simplify right side
    114,432.30x = 6,100,669,831.10
  5. Step 5: Solve for x
    x = 6,100,669,831.10/114,432.30
  6. Step 6: Final answer
    x = 53,312.48

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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.