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Finding the Fourth Proportional to 51,210.30, 76,815.45 and 42,462.30

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Solution

The fourth proportional to 51,210.30, 76,815.45 and 42,462.30 is: 63,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210.30 : 76,815.45 = 42,462.30 : x
  2. Step 2: Convert to fraction form
    51,210.30/76,815.45 = 42,462.30/x
  3. Step 3: Cross multiply
    51,210.30x = 76,815.45 × 42,462.30
  4. Step 4: Simplify right side
    51,210.30x = 3,261,760,682.54
  5. Step 5: Solve for x
    x = 3,261,760,682.54/51,210.30
  6. Step 6: Final answer
    x = 63,693.45

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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.