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Finding the Fourth Proportional to 42,370.41, 63,803.43 and 31,354.83

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Solution

The fourth proportional to 42,370.41, 63,803.43 and 31,354.83 is: 47,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,370.41 : 63,803.43 = 31,354.83 : x
  2. Step 2: Convert to fraction form
    42,370.41/63,803.43 = 31,354.83/x
  3. Step 3: Cross multiply
    42,370.41x = 63,803.43 × 31,354.83
  4. Step 4: Simplify right side
    42,370.41x = 2,000,545,701.07
  5. Step 5: Solve for x
    x = 2,000,545,701.07/42,370.41
  6. Step 6: Final answer
    x = 47,215.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.