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Finding the Fourth Proportional to 34,533, 47,655.54 and 19,629

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Solution

The fourth proportional to 34,533, 47,655.54 and 19,629 is: 27,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533 : 47,655.54 = 19,629 : x
  2. Step 2: Convert to fraction form
    34,533/47,655.54 = 19,629/x
  3. Step 3: Cross multiply
    34,533x = 47,655.54 × 19,629
  4. Step 4: Simplify right side
    34,533x = 935,430,594.66
  5. Step 5: Solve for x
    x = 935,430,594.66/34,533
  6. Step 6: Final answer
    x = 27,088.02

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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.