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Finding the Fourth Proportional to 35,918.60, 53,881.54 and 9,626

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Solution

The fourth proportional to 35,918.60, 53,881.54 and 9,626 is: 14,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918.60 : 53,881.54 = 9,626 : x
  2. Step 2: Convert to fraction form
    35,918.60/53,881.54 = 9,626/x
  3. Step 3: Cross multiply
    35,918.60x = 53,881.54 × 9,626
  4. Step 4: Simplify right side
    35,918.60x = 518,663,704.04
  5. Step 5: Solve for x
    x = 518,663,704.04/35,918.60
  6. Step 6: Final answer
    x = 14,439.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.