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Finding the Fourth Proportional to 46,690.98, 64,413 and 31,578.05

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Solution

The fourth proportional to 46,690.98, 64,413 and 31,578.05 is: 43,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690.98 : 64,413 = 31,578.05 : x
  2. Step 2: Convert to fraction form
    46,690.98/64,413 = 31,578.05/x
  3. Step 3: Cross multiply
    46,690.98x = 64,413 × 31,578.05
  4. Step 4: Simplify right side
    46,690.98x = 2,034,036,612.59
  5. Step 5: Solve for x
    x = 2,034,036,612.59/46,690.98
  6. Step 6: Final answer
    x = 43,563.80

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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.