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Finding the Fourth Proportional to 109,777.21, 164,663.55 and 34,897.50

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Solution

The fourth proportional to 109,777.21, 164,663.55 and 34,897.50 is: 52,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,777.21 : 164,663.55 = 34,897.50 : x
  2. Step 2: Convert to fraction form
    109,777.21/164,663.55 = 34,897.50/x
  3. Step 3: Cross multiply
    109,777.21x = 164,663.55 × 34,897.50
  4. Step 4: Simplify right side
    109,777.21x = 5,746,346,236.13
  5. Step 5: Solve for x
    x = 5,746,346,236.13/109,777.21
  6. Step 6: Final answer
    x = 52,345.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.