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Finding the Fourth Proportional to 31,357.69, 47,036.32 and 7,665.40

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Solution

The fourth proportional to 31,357.69, 47,036.32 and 7,665.40 is: 11,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.69 : 47,036.32 = 7,665.40 : x
  2. Step 2: Convert to fraction form
    31,357.69/47,036.32 = 7,665.40/x
  3. Step 3: Cross multiply
    31,357.69x = 47,036.32 × 7,665.40
  4. Step 4: Simplify right side
    31,357.69x = 360,552,207.33
  5. Step 5: Solve for x
    x = 360,552,207.33/31,357.69
  6. Step 6: Final answer
    x = 11,498.05

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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.