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Finding the Fourth Proportional to 37,657, 51,966.66 and 20,890.36

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Solution

The fourth proportional to 37,657, 51,966.66 and 20,890.36 is: 28,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 51,966.66 = 20,890.36 : x
  2. Step 2: Convert to fraction form
    37,657/51,966.66 = 20,890.36/x
  3. Step 3: Cross multiply
    37,657x = 51,966.66 × 20,890.36
  4. Step 4: Simplify right side
    37,657x = 1,085,602,235.40
  5. Step 5: Solve for x
    x = 1,085,602,235.40/37,657
  6. Step 6: Final answer
    x = 28,828.70

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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.