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Finding the Fourth Proportional to 35,428.96, 53,152.64 and 15,702.84

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Solution

The fourth proportional to 35,428.96, 53,152.64 and 15,702.84 is: 23,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428.96 : 53,152.64 = 15,702.84 : x
  2. Step 2: Convert to fraction form
    35,428.96/53,152.64 = 15,702.84/x
  3. Step 3: Cross multiply
    35,428.96x = 53,152.64 × 15,702.84
  4. Step 4: Simplify right side
    35,428.96x = 834,647,401.50
  5. Step 5: Solve for x
    x = 834,647,401.50/35,428.96
  6. Step 6: Final answer
    x = 23,558.34

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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.