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Finding the Fourth Proportional to 32,680.95, 49,022.01 and 9,307.99

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Solution

The fourth proportional to 32,680.95, 49,022.01 and 9,307.99 is: 13,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.95 : 49,022.01 = 9,307.99 : x
  2. Step 2: Convert to fraction form
    32,680.95/49,022.01 = 9,307.99/x
  3. Step 3: Cross multiply
    32,680.95x = 49,022.01 × 9,307.99
  4. Step 4: Simplify right side
    32,680.95x = 456,296,378.86
  5. Step 5: Solve for x
    x = 456,296,378.86/32,680.95
  6. Step 6: Final answer
    x = 13,962.15

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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.