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Finding the Fourth Proportional to 46,854.54, 70,232.85 and 20,537.10

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Solution

The fourth proportional to 46,854.54, 70,232.85 and 20,537.10 is: 30,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854.54 : 70,232.85 = 20,537.10 : x
  2. Step 2: Convert to fraction form
    46,854.54/70,232.85 = 20,537.10/x
  3. Step 3: Cross multiply
    46,854.54x = 70,232.85 × 20,537.10
  4. Step 4: Simplify right side
    46,854.54x = 1,442,379,063.74
  5. Step 5: Solve for x
    x = 1,442,379,063.74/46,854.54
  6. Step 6: Final answer
    x = 30,784.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.