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Finding the Fourth Proportional to 35,953.65, 53,948.67 and 24,242.25

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Solution

The fourth proportional to 35,953.65, 53,948.67 and 24,242.25 is: 36,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.65 : 53,948.67 = 24,242.25 : x
  2. Step 2: Convert to fraction form
    35,953.65/53,948.67 = 24,242.25/x
  3. Step 3: Cross multiply
    35,953.65x = 53,948.67 × 24,242.25
  4. Step 4: Simplify right side
    35,953.65x = 1,307,837,145.31
  5. Step 5: Solve for x
    x = 1,307,837,145.31/35,953.65
  6. Step 6: Final answer
    x = 36,375.64

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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.