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Finding the Fourth Proportional to 37,646.76, 56,475.05 and 11,354.16

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Solution

The fourth proportional to 37,646.76, 56,475.05 and 11,354.16 is: 17,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.76 : 56,475.05 = 11,354.16 : x
  2. Step 2: Convert to fraction form
    37,646.76/56,475.05 = 11,354.16/x
  3. Step 3: Cross multiply
    37,646.76x = 56,475.05 × 11,354.16
  4. Step 4: Simplify right side
    37,646.76x = 641,226,696.94
  5. Step 5: Solve for x
    x = 641,226,696.94/37,646.76
  6. Step 6: Final answer
    x = 17,032.72

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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.