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Finding the Fourth Proportional to 109,977.81, 164,966.66 and 39,857.01

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Solution

The fourth proportional to 109,977.81, 164,966.66 and 39,857.01 is: 59,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,977.81 : 164,966.66 = 39,857.01 : x
  2. Step 2: Convert to fraction form
    109,977.81/164,966.66 = 39,857.01/x
  3. Step 3: Cross multiply
    109,977.81x = 164,966.66 × 39,857.01
  4. Step 4: Simplify right side
    109,977.81x = 6,575,077,618.00
  5. Step 5: Solve for x
    x = 6,575,077,618.00/109,977.81
  6. Step 6: Final answer
    x = 59,785.49

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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.