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Finding the Fourth Proportional to 31,501.51, 47,253.17 and 11,776.29

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Solution

The fourth proportional to 31,501.51, 47,253.17 and 11,776.29 is: 17,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.51 : 47,253.17 = 11,776.29 : x
  2. Step 2: Convert to fraction form
    31,501.51/47,253.17 = 11,776.29/x
  3. Step 3: Cross multiply
    31,501.51x = 47,253.17 × 11,776.29
  4. Step 4: Simplify right side
    31,501.51x = 556,466,885.58
  5. Step 5: Solve for x
    x = 556,466,885.58/31,501.51
  6. Step 6: Final answer
    x = 17,664.77

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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.