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Finding the Fourth Proportional to 35,868.65, 53,802.53 and 16,133.27

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Solution

The fourth proportional to 35,868.65, 53,802.53 and 16,133.27 is: 24,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,868.65 : 53,802.53 = 16,133.27 : x
  2. Step 2: Convert to fraction form
    35,868.65/53,802.53 = 16,133.27/x
  3. Step 3: Cross multiply
    35,868.65x = 53,802.53 × 16,133.27
  4. Step 4: Simplify right side
    35,868.65x = 868,010,743.17
  5. Step 5: Solve for x
    x = 868,010,743.17/35,868.65
  6. Step 6: Final answer
    x = 24,199.70

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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.