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Finding the Fourth Proportional to 31,545.86, 47,295.29 and 14,896.40

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Solution

The fourth proportional to 31,545.86, 47,295.29 and 14,896.40 is: 22,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.86 : 47,295.29 = 14,896.40 : x
  2. Step 2: Convert to fraction form
    31,545.86/47,295.29 = 14,896.40/x
  3. Step 3: Cross multiply
    31,545.86x = 47,295.29 × 14,896.40
  4. Step 4: Simplify right side
    31,545.86x = 704,529,358.72
  5. Step 5: Solve for x
    x = 704,529,358.72/31,545.86
  6. Step 6: Final answer
    x = 22,333.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.