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Finding the Fourth Proportional to 42,406.70, 63,634.35 and 16,130.30

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Solution

The fourth proportional to 42,406.70, 63,634.35 and 16,130.30 is: 24,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.70 : 63,634.35 = 16,130.30 : x
  2. Step 2: Convert to fraction form
    42,406.70/63,634.35 = 16,130.30/x
  3. Step 3: Cross multiply
    42,406.70x = 63,634.35 × 16,130.30
  4. Step 4: Simplify right side
    42,406.70x = 1,026,441,155.81
  5. Step 5: Solve for x
    x = 1,026,441,155.81/42,406.70
  6. Step 6: Final answer
    x = 24,204.69

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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.