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Finding the Fourth Proportional to 34,332.12, 51,487.02 and 10,953

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Solution

The fourth proportional to 34,332.12, 51,487.02 and 10,953 is: 16,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,332.12 : 51,487.02 = 10,953 : x
  2. Step 2: Convert to fraction form
    34,332.12/51,487.02 = 10,953/x
  3. Step 3: Cross multiply
    34,332.12x = 51,487.02 × 10,953
  4. Step 4: Simplify right side
    34,332.12x = 563,937,330.06
  5. Step 5: Solve for x
    x = 563,937,330.06/34,332.12
  6. Step 6: Final answer
    x = 16,425.94

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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.