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Finding the Fourth Proportional to 97,701, 134,828.10 and 52,989

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Solution

The fourth proportional to 97,701, 134,828.10 and 52,989 is: 73,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,701 : 134,828.10 = 52,989 : x
  2. Step 2: Convert to fraction form
    97,701/134,828.10 = 52,989/x
  3. Step 3: Cross multiply
    97,701x = 134,828.10 × 52,989
  4. Step 4: Simplify right side
    97,701x = 7,144,406,190.90
  5. Step 5: Solve for x
    x = 7,144,406,190.90/97,701
  6. Step 6: Final answer
    x = 73,125.21

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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.