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Finding the Fourth Proportional to 65,178.90, 97,768.35 and 45,134.10

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Solution

The fourth proportional to 65,178.90, 97,768.35 and 45,134.10 is: 67,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.90 : 97,768.35 = 45,134.10 : x
  2. Step 2: Convert to fraction form
    65,178.90/97,768.35 = 45,134.10/x
  3. Step 3: Cross multiply
    65,178.90x = 97,768.35 × 45,134.10
  4. Step 4: Simplify right side
    65,178.90x = 4,412,686,485.74
  5. Step 5: Solve for x
    x = 4,412,686,485.74/65,178.90
  6. Step 6: Final answer
    x = 67,701.15

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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.