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Finding the Fourth Proportional to 65,825.58, 98,748.62 and 21,442.01

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Solution

The fourth proportional to 65,825.58, 98,748.62 and 21,442.01 is: 32,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.58 : 98,748.62 = 21,442.01 : x
  2. Step 2: Convert to fraction form
    65,825.58/98,748.62 = 21,442.01/x
  3. Step 3: Cross multiply
    65,825.58x = 98,748.62 × 21,442.01
  4. Step 4: Simplify right side
    65,825.58x = 2,117,368,296.57
  5. Step 5: Solve for x
    x = 2,117,368,296.57/65,825.58
  6. Step 6: Final answer
    x = 32,166.35

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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.