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Finding the Fourth Proportional to 31,598.03, 47,360.59 and 11,864

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Solution

The fourth proportional to 31,598.03, 47,360.59 and 11,864 is: 17,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.03 : 47,360.59 = 11,864 : x
  2. Step 2: Convert to fraction form
    31,598.03/47,360.59 = 11,864/x
  3. Step 3: Cross multiply
    31,598.03x = 47,360.59 × 11,864
  4. Step 4: Simplify right side
    31,598.03x = 561,886,039.76
  5. Step 5: Solve for x
    x = 561,886,039.76/31,598.03
  6. Step 6: Final answer
    x = 17,782.31

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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.