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Finding the Fourth Proportional to 35,973.66, 53,953.92 and 9,672.24

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Solution

The fourth proportional to 35,973.66, 53,953.92 and 9,672.24 is: 14,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973.66 : 53,953.92 = 9,672.24 : x
  2. Step 2: Convert to fraction form
    35,973.66/53,953.92 = 9,672.24/x
  3. Step 3: Cross multiply
    35,973.66x = 53,953.92 × 9,672.24
  4. Step 4: Simplify right side
    35,973.66x = 521,855,263.18
  5. Step 5: Solve for x
    x = 521,855,263.18/35,973.66
  6. Step 6: Final answer
    x = 14,506.59

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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.