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Finding the Fourth Proportional to 35,820.56, 53,715 and 16,098.32

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Solution

The fourth proportional to 35,820.56, 53,715 and 16,098.32 is: 24,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.56 : 53,715 = 16,098.32 : x
  2. Step 2: Convert to fraction form
    35,820.56/53,715 = 16,098.32/x
  3. Step 3: Cross multiply
    35,820.56x = 53,715 × 16,098.32
  4. Step 4: Simplify right side
    35,820.56x = 864,721,258.80
  5. Step 5: Solve for x
    x = 864,721,258.80/35,820.56
  6. Step 6: Final answer
    x = 24,140.36

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1.5x scale

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.