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Finding the Fourth Proportional to 35,856.52, 53,792.04 and 15,080

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Solution

The fourth proportional to 35,856.52, 53,792.04 and 15,080 is: 22,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.52 : 53,792.04 = 15,080 : x
  2. Step 2: Convert to fraction form
    35,856.52/53,792.04 = 15,080/x
  3. Step 3: Cross multiply
    35,856.52x = 53,792.04 × 15,080
  4. Step 4: Simplify right side
    35,856.52x = 811,183,963.20
  5. Step 5: Solve for x
    x = 811,183,963.20/35,856.52
  6. Step 6: Final answer
    x = 22,623.05

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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.