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Finding the Fourth Proportional to 31,502.71, 47,262.59 and 11,783.26

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Solution

The fourth proportional to 31,502.71, 47,262.59 and 11,783.26 is: 17,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.71 : 47,262.59 = 11,783.26 : x
  2. Step 2: Convert to fraction form
    31,502.71/47,262.59 = 11,783.26/x
  3. Step 3: Cross multiply
    31,502.71x = 47,262.59 × 11,783.26
  4. Step 4: Simplify right side
    31,502.71x = 556,907,386.24
  5. Step 5: Solve for x
    x = 556,907,386.24/31,502.71
  6. Step 6: Final answer
    x = 17,678.08

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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.