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Finding the Fourth Proportional to 56,627.24, 84,852.30 and 35,807

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Solution

The fourth proportional to 56,627.24, 84,852.30 and 35,807 is: 53,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,627.24 : 84,852.30 = 35,807 : x
  2. Step 2: Convert to fraction form
    56,627.24/84,852.30 = 35,807/x
  3. Step 3: Cross multiply
    56,627.24x = 84,852.30 × 35,807
  4. Step 4: Simplify right side
    56,627.24x = 3,038,306,306.10
  5. Step 5: Solve for x
    x = 3,038,306,306.10/56,627.24
  6. Step 6: Final answer
    x = 53,654.50

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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.