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Finding the Fourth Proportional to 31,852.58, 47,778.93 and 9,666.14

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Solution

The fourth proportional to 31,852.58, 47,778.93 and 9,666.14 is: 14,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.58 : 47,778.93 = 9,666.14 : x
  2. Step 2: Convert to fraction form
    31,852.58/47,778.93 = 9,666.14/x
  3. Step 3: Cross multiply
    31,852.58x = 47,778.93 × 9,666.14
  4. Step 4: Simplify right side
    31,852.58x = 461,837,587.54
  5. Step 5: Solve for x
    x = 461,837,587.54/31,852.58
  6. Step 6: Final answer
    x = 14,499.22

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