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Finding the Fourth Proportional to 34,510.70, 47,624.24 and 19,403.38

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Solution

The fourth proportional to 34,510.70, 47,624.24 and 19,403.38 is: 26,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.70 : 47,624.24 = 19,403.38 : x
  2. Step 2: Convert to fraction form
    34,510.70/47,624.24 = 19,403.38/x
  3. Step 3: Cross multiply
    34,510.70x = 47,624.24 × 19,403.38
  4. Step 4: Simplify right side
    34,510.70x = 924,071,155.38
  5. Step 5: Solve for x
    x = 924,071,155.38/34,510.70
  6. Step 6: Final answer
    x = 26,776.36

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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.