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Finding the Fourth Proportional to 32,681.16, 49,021.50 and 9,307.56

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Solution

The fourth proportional to 32,681.16, 49,021.50 and 9,307.56 is: 13,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681.16 : 49,021.50 = 9,307.56 : x
  2. Step 2: Convert to fraction form
    32,681.16/49,021.50 = 9,307.56/x
  3. Step 3: Cross multiply
    32,681.16x = 49,021.50 × 9,307.56
  4. Step 4: Simplify right side
    32,681.16x = 456,270,552.54
  5. Step 5: Solve for x
    x = 456,270,552.54/32,681.16
  6. Step 6: Final answer
    x = 13,961.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.