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Finding the Fourth Proportional to 71,752.26, 107,628.48 and 34,303.53

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Solution

The fourth proportional to 71,752.26, 107,628.48 and 34,303.53 is: 51,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.26 : 107,628.48 = 34,303.53 : x
  2. Step 2: Convert to fraction form
    71,752.26/107,628.48 = 34,303.53/x
  3. Step 3: Cross multiply
    71,752.26x = 107,628.48 × 34,303.53
  4. Step 4: Simplify right side
    71,752.26x = 3,692,036,792.53
  5. Step 5: Solve for x
    x = 3,692,036,792.53/71,752.26
  6. Step 6: Final answer
    x = 51,455.34

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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.