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Finding the Fourth Proportional to 35,709.65, 53,569.02 and 12,007.02

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Solution

The fourth proportional to 35,709.65, 53,569.02 and 12,007.02 is: 18,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.65 : 53,569.02 = 12,007.02 : x
  2. Step 2: Convert to fraction form
    35,709.65/53,569.02 = 12,007.02/x
  3. Step 3: Cross multiply
    35,709.65x = 53,569.02 × 12,007.02
  4. Step 4: Simplify right side
    35,709.65x = 643,204,294.52
  5. Step 5: Solve for x
    x = 643,204,294.52/35,709.65
  6. Step 6: Final answer
    x = 18,012.06

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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.