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Finding the Fourth Proportional to 102,235.10, 153,358.74 and 32,114.39

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Solution

The fourth proportional to 102,235.10, 153,358.74 and 32,114.39 is: 48,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.10 : 153,358.74 = 32,114.39 : x
  2. Step 2: Convert to fraction form
    102,235.10/153,358.74 = 32,114.39/x
  3. Step 3: Cross multiply
    102,235.10x = 153,358.74 × 32,114.39
  4. Step 4: Simplify right side
    102,235.10x = 4,925,021,619.47
  5. Step 5: Solve for x
    x = 4,925,021,619.47/102,235.10
  6. Step 6: Final answer
    x = 48,173.49

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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.