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Finding the Fourth Proportional to 27,136, 37,441.20 and 15,798.52

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Solution

The fourth proportional to 27,136, 37,441.20 and 15,798.52 is: 21,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136 : 37,441.20 = 15,798.52 : x
  2. Step 2: Convert to fraction form
    27,136/37,441.20 = 15,798.52/x
  3. Step 3: Cross multiply
    27,136x = 37,441.20 × 15,798.52
  4. Step 4: Simplify right side
    27,136x = 591,515,547.02
  5. Step 5: Solve for x
    x = 591,515,547.02/27,136
  6. Step 6: Final answer
    x = 21,798.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.