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Finding the Fourth Proportional to 34,428, 47,510.64 and 19,524

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Solution

The fourth proportional to 34,428, 47,510.64 and 19,524 is: 26,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,428 : 47,510.64 = 19,524 : x
  2. Step 2: Convert to fraction form
    34,428/47,510.64 = 19,524/x
  3. Step 3: Cross multiply
    34,428x = 47,510.64 × 19,524
  4. Step 4: Simplify right side
    34,428x = 927,597,735.36
  5. Step 5: Solve for x
    x = 927,597,735.36/34,428
  6. Step 6: Final answer
    x = 26,943.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.