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Finding the Fourth Proportional to 51,012.54, 76,506.65 and 21,430.95

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Solution

The fourth proportional to 51,012.54, 76,506.65 and 21,430.95 is: 32,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012.54 : 76,506.65 = 21,430.95 : x
  2. Step 2: Convert to fraction form
    51,012.54/76,506.65 = 21,430.95/x
  3. Step 3: Cross multiply
    51,012.54x = 76,506.65 × 21,430.95
  4. Step 4: Simplify right side
    51,012.54x = 1,639,610,190.82
  5. Step 5: Solve for x
    x = 1,639,610,190.82/51,012.54
  6. Step 6: Final answer
    x = 32,141.32

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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.