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Finding the Fourth Proportional to 35,180.64, 52,782 and 15,475.76

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Solution

The fourth proportional to 35,180.64, 52,782 and 15,475.76 is: 23,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180.64 : 52,782 = 15,475.76 : x
  2. Step 2: Convert to fraction form
    35,180.64/52,782 = 15,475.76/x
  3. Step 3: Cross multiply
    35,180.64x = 52,782 × 15,475.76
  4. Step 4: Simplify right side
    35,180.64x = 816,841,564.32
  5. Step 5: Solve for x
    x = 816,841,564.32/35,180.64
  6. Step 6: Final answer
    x = 23,218.50

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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.