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Finding the Fourth Proportional to 31,360.50, 47,048.04 and 10,584

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Solution

The fourth proportional to 31,360.50, 47,048.04 and 10,584 is: 15,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360.50 : 47,048.04 = 10,584 : x
  2. Step 2: Convert to fraction form
    31,360.50/47,048.04 = 10,584/x
  3. Step 3: Cross multiply
    31,360.50x = 47,048.04 × 10,584
  4. Step 4: Simplify right side
    31,360.50x = 497,956,455.36
  5. Step 5: Solve for x
    x = 497,956,455.36/31,360.50
  6. Step 6: Final answer
    x = 15,878.46

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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.