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Finding the Fourth Proportional to 70,748.84, 97,635.46 and 40,537

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Solution

The fourth proportional to 70,748.84, 97,635.46 and 40,537 is: 55,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748.84 : 97,635.46 = 40,537 : x
  2. Step 2: Convert to fraction form
    70,748.84/97,635.46 = 40,537/x
  3. Step 3: Cross multiply
    70,748.84x = 97,635.46 × 40,537
  4. Step 4: Simplify right side
    70,748.84x = 3,957,848,642.02
  5. Step 5: Solve for x
    x = 3,957,848,642.02/70,748.84
  6. Step 6: Final answer
    x = 55,942.24

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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.