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Finding the Fourth Proportional to 32,839.55, 49,266.53 and 10,655.16

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Solution

The fourth proportional to 32,839.55, 49,266.53 and 10,655.16 is: 15,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.55 : 49,266.53 = 10,655.16 : x
  2. Step 2: Convert to fraction form
    32,839.55/49,266.53 = 10,655.16/x
  3. Step 3: Cross multiply
    32,839.55x = 49,266.53 × 10,655.16
  4. Step 4: Simplify right side
    32,839.55x = 524,942,706.52
  5. Step 5: Solve for x
    x = 524,942,706.52/32,839.55
  6. Step 6: Final answer
    x = 15,985.08

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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.