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Finding the Fourth Proportional to 65,459.10, 90,345.32 and 38,600

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Solution

The fourth proportional to 65,459.10, 90,345.32 and 38,600 is: 53,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,459.10 : 90,345.32 = 38,600 : x
  2. Step 2: Convert to fraction form
    65,459.10/90,345.32 = 38,600/x
  3. Step 3: Cross multiply
    65,459.10x = 90,345.32 × 38,600
  4. Step 4: Simplify right side
    65,459.10x = 3,487,329,352.00
  5. Step 5: Solve for x
    x = 3,487,329,352.00/65,459.10
  6. Step 6: Final answer
    x = 53,274.94

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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.