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Finding the Fourth Proportional to 75,701.34, 113,598.99 and 51,411.06

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Solution

The fourth proportional to 75,701.34, 113,598.99 and 51,411.06 is: 77,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701.34 : 113,598.99 = 51,411.06 : x
  2. Step 2: Convert to fraction form
    75,701.34/113,598.99 = 51,411.06/x
  3. Step 3: Cross multiply
    75,701.34x = 113,598.99 × 51,411.06
  4. Step 4: Simplify right side
    75,701.34x = 5,840,244,490.83
  5. Step 5: Solve for x
    x = 5,840,244,490.83/75,701.34
  6. Step 6: Final answer
    x = 77,148.50

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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.