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Finding the Fourth Proportional to 102,148.88, 153,223.40 and 32,033.68

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Solution

The fourth proportional to 102,148.88, 153,223.40 and 32,033.68 is: 48,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148.88 : 153,223.40 = 32,033.68 : x
  2. Step 2: Convert to fraction form
    102,148.88/153,223.40 = 32,033.68/x
  3. Step 3: Cross multiply
    102,148.88x = 153,223.40 × 32,033.68
  4. Step 4: Simplify right side
    102,148.88x = 4,908,309,364.11
  5. Step 5: Solve for x
    x = 4,908,309,364.11/102,148.88
  6. Step 6: Final answer
    x = 48,050.55

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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.