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Finding the Fourth Proportional to 94,486.50, 141,751.62 and 32,157

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Solution

The fourth proportional to 94,486.50, 141,751.62 and 32,157 is: 48,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,486.50 : 141,751.62 = 32,157 : x
  2. Step 2: Convert to fraction form
    94,486.50/141,751.62 = 32,157/x
  3. Step 3: Cross multiply
    94,486.50x = 141,751.62 × 32,157
  4. Step 4: Simplify right side
    94,486.50x = 4,558,306,844.34
  5. Step 5: Solve for x
    x = 4,558,306,844.34/94,486.50
  6. Step 6: Final answer
    x = 48,242.94

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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.