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Finding the Fourth Proportional to 42,113.56, 63,182.64 and 15,820.24

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Solution

The fourth proportional to 42,113.56, 63,182.64 and 15,820.24 is: 23,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,113.56 : 63,182.64 = 15,820.24 : x
  2. Step 2: Convert to fraction form
    42,113.56/63,182.64 = 15,820.24/x
  3. Step 3: Cross multiply
    42,113.56x = 63,182.64 × 15,820.24
  4. Step 4: Simplify right side
    42,113.56x = 999,564,528.63
  5. Step 5: Solve for x
    x = 999,564,528.63/42,113.56
  6. Step 6: Final answer
    x = 23,734.98

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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.