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Finding the Fourth Proportional to 27,802.26, 41,700.35 and 10,032.28

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Solution

The fourth proportional to 27,802.26, 41,700.35 and 10,032.28 is: 15,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.26 : 41,700.35 = 10,032.28 : x
  2. Step 2: Convert to fraction form
    27,802.26/41,700.35 = 10,032.28/x
  3. Step 3: Cross multiply
    27,802.26x = 41,700.35 × 10,032.28
  4. Step 4: Simplify right side
    27,802.26x = 418,349,508.13
  5. Step 5: Solve for x
    x = 418,349,508.13/27,802.26
  6. Step 6: Final answer
    x = 15,047.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.