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Finding the Fourth Proportional to 34,294.52, 47,323.74 and 19,186.00

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Solution

The fourth proportional to 34,294.52, 47,323.74 and 19,186.00 is: 26,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.52 : 47,323.74 = 19,186.00 : x
  2. Step 2: Convert to fraction form
    34,294.52/47,323.74 = 19,186.00/x
  3. Step 3: Cross multiply
    34,294.52x = 47,323.74 × 19,186.00
  4. Step 4: Simplify right side
    34,294.52x = 907,953,229.28
  5. Step 5: Solve for x
    x = 907,953,229.28/34,294.52
  6. Step 6: Final answer
    x = 26,475.17

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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.