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Finding the Fourth Proportional to 42,830.64, 59,103 and 23,965.20

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Solution

The fourth proportional to 42,830.64, 59,103 and 23,965.20 is: 33,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.64 : 59,103 = 23,965.20 : x
  2. Step 2: Convert to fraction form
    42,830.64/59,103 = 23,965.20/x
  3. Step 3: Cross multiply
    42,830.64x = 59,103 × 23,965.20
  4. Step 4: Simplify right side
    42,830.64x = 1,416,415,215.60
  5. Step 5: Solve for x
    x = 1,416,415,215.60/42,830.64
  6. Step 6: Final answer
    x = 33,070.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.