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Finding the Fourth Proportional to 31,900.37, 47,848.93 and 9,713.25

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Solution

The fourth proportional to 31,900.37, 47,848.93 and 9,713.25 is: 14,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.37 : 47,848.93 = 9,713.25 : x
  2. Step 2: Convert to fraction form
    31,900.37/47,848.93 = 9,713.25/x
  3. Step 3: Cross multiply
    31,900.37x = 47,848.93 × 9,713.25
  4. Step 4: Simplify right side
    31,900.37x = 464,768,595.04
  5. Step 5: Solve for x
    x = 464,768,595.04/31,900.37
  6. Step 6: Final answer
    x = 14,569.38

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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.