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Finding the Fourth Proportional to 31,602.23, 47,410.18 and 9,417.39

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Solution

The fourth proportional to 31,602.23, 47,410.18 and 9,417.39 is: 14,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.23 : 47,410.18 = 9,417.39 : x
  2. Step 2: Convert to fraction form
    31,602.23/47,410.18 = 9,417.39/x
  3. Step 3: Cross multiply
    31,602.23x = 47,410.18 × 9,417.39
  4. Step 4: Simplify right side
    31,602.23x = 446,480,107.94
  5. Step 5: Solve for x
    x = 446,480,107.94/31,602.23
  6. Step 6: Final answer
    x = 14,128.12

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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.