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Finding the Fourth Proportional to 34,359.18, 47,415.02 and 19,045.47

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Solution

The fourth proportional to 34,359.18, 47,415.02 and 19,045.47 is: 26,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359.18 : 47,415.02 = 19,045.47 : x
  2. Step 2: Convert to fraction form
    34,359.18/47,415.02 = 19,045.47/x
  3. Step 3: Cross multiply
    34,359.18x = 47,415.02 × 19,045.47
  4. Step 4: Simplify right side
    34,359.18x = 903,041,340.96
  5. Step 5: Solve for x
    x = 903,041,340.96/34,359.18
  6. Step 6: Final answer
    x = 26,282.39

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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.