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Finding the Fourth Proportional to 101,090.75, 151,636.14 and 47,788.10

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Solution

The fourth proportional to 101,090.75, 151,636.14 and 47,788.10 is: 71,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,090.75 : 151,636.14 = 47,788.10 : x
  2. Step 2: Convert to fraction form
    101,090.75/151,636.14 = 47,788.10/x
  3. Step 3: Cross multiply
    101,090.75x = 151,636.14 × 47,788.10
  4. Step 4: Simplify right side
    101,090.75x = 7,246,402,263.75
  5. Step 5: Solve for x
    x = 7,246,402,263.75/101,090.75
  6. Step 6: Final answer
    x = 71,682.15

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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.