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Finding the Fourth Proportional to 31,068.42, 46,565.64 and 17,893.50

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Solution

The fourth proportional to 31,068.42, 46,565.64 and 17,893.50 is: 26,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.42 : 46,565.64 = 17,893.50 : x
  2. Step 2: Convert to fraction form
    31,068.42/46,565.64 = 17,893.50/x
  3. Step 3: Cross multiply
    31,068.42x = 46,565.64 × 17,893.50
  4. Step 4: Simplify right side
    31,068.42x = 833,222,279.34
  5. Step 5: Solve for x
    x = 833,222,279.34/31,068.42
  6. Step 6: Final answer
    x = 26,818.95

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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.