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Finding the Fourth Proportional to 46,459.44, 64,140.60 and 30,590

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Solution

The fourth proportional to 46,459.44, 64,140.60 and 30,590 is: 42,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.44 : 64,140.60 = 30,590 : x
  2. Step 2: Convert to fraction form
    46,459.44/64,140.60 = 30,590/x
  3. Step 3: Cross multiply
    46,459.44x = 64,140.60 × 30,590
  4. Step 4: Simplify right side
    46,459.44x = 1,962,060,954
  5. Step 5: Solve for x
    x = 1,962,060,954/46,459.44
  6. Step 6: Final answer
    x = 42,231.70

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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.