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Finding the Fourth Proportional to 31,011.17, 46,516.76 and 7,637.60

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Solution

The fourth proportional to 31,011.17, 46,516.76 and 7,637.60 is: 11,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.17 : 46,516.76 = 7,637.60 : x
  2. Step 2: Convert to fraction form
    31,011.17/46,516.76 = 7,637.60/x
  3. Step 3: Cross multiply
    31,011.17x = 46,516.76 × 7,637.60
  4. Step 4: Simplify right side
    31,011.17x = 355,276,135.40
  5. Step 5: Solve for x
    x = 355,276,135.40/31,011.17
  6. Step 6: Final answer
    x = 11,456.39

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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.