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Finding the Fourth Proportional to 102,133.85, 153,200.84 and 32,018.63

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Solution

The fourth proportional to 102,133.85, 153,200.84 and 32,018.63 is: 48,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.85 : 153,200.84 = 32,018.63 : x
  2. Step 2: Convert to fraction form
    102,133.85/153,200.84 = 32,018.63/x
  3. Step 3: Cross multiply
    102,133.85x = 153,200.84 × 32,018.63
  4. Step 4: Simplify right side
    102,133.85x = 4,905,280,085.55
  5. Step 5: Solve for x
    x = 4,905,280,085.55/102,133.85
  6. Step 6: Final answer
    x = 48,027.96

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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.