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Finding the Fourth Proportional to 46,533, 64,214.70 and 25,311.96

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Solution

The fourth proportional to 46,533, 64,214.70 and 25,311.96 is: 34,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,533 : 64,214.70 = 25,311.96 : x
  2. Step 2: Convert to fraction form
    46,533/64,214.70 = 25,311.96/x
  3. Step 3: Cross multiply
    46,533x = 64,214.70 × 25,311.96
  4. Step 4: Simplify right side
    46,533x = 1,625,399,917.81
  5. Step 5: Solve for x
    x = 1,625,399,917.81/46,533
  6. Step 6: Final answer
    x = 34,930.05

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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.