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Finding the Fourth Proportional to 65,389.70, 90,214.56 and 42,741.77

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Solution

The fourth proportional to 65,389.70, 90,214.56 and 42,741.77 is: 58,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,389.70 : 90,214.56 = 42,741.77 : x
  2. Step 2: Convert to fraction form
    65,389.70/90,214.56 = 42,741.77/x
  3. Step 3: Cross multiply
    65,389.70x = 90,214.56 × 42,741.77
  4. Step 4: Simplify right side
    65,389.70x = 3,855,929,523.10
  5. Step 5: Solve for x
    x = 3,855,929,523.10/65,389.70
  6. Step 6: Final answer
    x = 58,968.45

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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.