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Finding the Fourth Proportional to 131,053, 196,580.86 and 32,557

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Solution

The fourth proportional to 131,053, 196,580.86 and 32,557 is: 48,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,053 : 196,580.86 = 32,557 : x
  2. Step 2: Convert to fraction form
    131,053/196,580.86 = 32,557/x
  3. Step 3: Cross multiply
    131,053x = 196,580.86 × 32,557
  4. Step 4: Simplify right side
    131,053x = 6,400,083,059.02
  5. Step 5: Solve for x
    x = 6,400,083,059.02/131,053
  6. Step 6: Final answer
    x = 48,835.84

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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.