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Finding the Fourth Proportional to 100,916.52, 151,322.23 and 37,684.65

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Solution

The fourth proportional to 100,916.52, 151,322.23 and 37,684.65 is: 56,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.52 : 151,322.23 = 37,684.65 : x
  2. Step 2: Convert to fraction form
    100,916.52/151,322.23 = 37,684.65/x
  3. Step 3: Cross multiply
    100,916.52x = 151,322.23 × 37,684.65
  4. Step 4: Simplify right side
    100,916.52x = 5,702,524,802.25
  5. Step 5: Solve for x
    x = 5,702,524,802.25/100,916.52
  6. Step 6: Final answer
    x = 56,507.35

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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.