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Finding the Fourth Proportional to 122,530.64, 183,806.26 and 33,784.10

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Solution

The fourth proportional to 122,530.64, 183,806.26 and 33,784.10 is: 50,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,530.64 : 183,806.26 = 33,784.10 : x
  2. Step 2: Convert to fraction form
    122,530.64/183,806.26 = 33,784.10/x
  3. Step 3: Cross multiply
    122,530.64x = 183,806.26 × 33,784.10
  4. Step 4: Simplify right side
    122,530.64x = 6,209,729,068.47
  5. Step 5: Solve for x
    x = 6,209,729,068.47/122,530.64
  6. Step 6: Final answer
    x = 50,678.99

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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.