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Finding the Fourth Proportional to 65,718, 90,712.44 and 43,071.48

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Solution

The fourth proportional to 65,718, 90,712.44 and 43,071.48 is: 59,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 90,712.44 = 43,071.48 : x
  2. Step 2: Convert to fraction form
    65,718/90,712.44 = 43,071.48/x
  3. Step 3: Cross multiply
    65,718x = 90,712.44 × 43,071.48
  4. Step 4: Simplify right side
    65,718x = 3,907,119,045.21
  5. Step 5: Solve for x
    x = 3,907,119,045.21/65,718
  6. Step 6: Final answer
    x = 59,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.