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Finding the Fourth Proportional to 123,538.16, 185,307.24 and 30,043.10

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Solution

The fourth proportional to 123,538.16, 185,307.24 and 30,043.10 is: 45,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538.16 : 185,307.24 = 30,043.10 : x
  2. Step 2: Convert to fraction form
    123,538.16/185,307.24 = 30,043.10/x
  3. Step 3: Cross multiply
    123,538.16x = 185,307.24 × 30,043.10
  4. Step 4: Simplify right side
    123,538.16x = 5,567,203,015.51
  5. Step 5: Solve for x
    x = 5,567,203,015.51/123,538.16
  6. Step 6: Final answer
    x = 45,064.64

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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.