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Finding the Fourth Proportional to 35,979.65, 53,963.40 and 9,678.54

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Solution

The fourth proportional to 35,979.65, 53,963.40 and 9,678.54 is: 14,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,979.65 : 53,963.40 = 9,678.54 : x
  2. Step 2: Convert to fraction form
    35,979.65/53,963.40 = 9,678.54/x
  3. Step 3: Cross multiply
    35,979.65x = 53,963.40 × 9,678.54
  4. Step 4: Simplify right side
    35,979.65x = 522,286,925.44
  5. Step 5: Solve for x
    x = 522,286,925.44/35,979.65
  6. Step 6: Final answer
    x = 14,516.18

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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.