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Finding the Fourth Proportional to 47,897.93, 71,858.06 and 14,617.93

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Solution

The fourth proportional to 47,897.93, 71,858.06 and 14,617.93 is: 21,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.93 : 71,858.06 = 14,617.93 : x
  2. Step 2: Convert to fraction form
    47,897.93/71,858.06 = 14,617.93/x
  3. Step 3: Cross multiply
    47,897.93x = 71,858.06 × 14,617.93
  4. Step 4: Simplify right side
    47,897.93x = 1,050,416,091.02
  5. Step 5: Solve for x
    x = 1,050,416,091.02/47,897.93
  6. Step 6: Final answer
    x = 21,930.30

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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.