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Finding the Fourth Proportional to 35,918.22, 53,872.86 and 9,624.80

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Solution

The fourth proportional to 35,918.22, 53,872.86 and 9,624.80 is: 14,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918.22 : 53,872.86 = 9,624.80 : x
  2. Step 2: Convert to fraction form
    35,918.22/53,872.86 = 9,624.80/x
  3. Step 3: Cross multiply
    35,918.22x = 53,872.86 × 9,624.80
  4. Step 4: Simplify right side
    35,918.22x = 518,515,502.93
  5. Step 5: Solve for x
    x = 518,515,502.93/35,918.22
  6. Step 6: Final answer
    x = 14,436.00

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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.