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Finding the Fourth Proportional to 35,646.30, 53,472.24 and 11,953.89

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Solution

The fourth proportional to 35,646.30, 53,472.24 and 11,953.89 is: 17,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.30 : 53,472.24 = 11,953.89 : x
  2. Step 2: Convert to fraction form
    35,646.30/53,472.24 = 11,953.89/x
  3. Step 3: Cross multiply
    35,646.30x = 53,472.24 × 11,953.89
  4. Step 4: Simplify right side
    35,646.30x = 639,201,275.01
  5. Step 5: Solve for x
    x = 639,201,275.01/35,646.30
  6. Step 6: Final answer
    x = 17,931.77

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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.