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Finding the Fourth Proportional to 42,663.66, 64,017.09 and 28,783.50

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Solution

The fourth proportional to 42,663.66, 64,017.09 and 28,783.50 is: 43,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663.66 : 64,017.09 = 28,783.50 : x
  2. Step 2: Convert to fraction form
    42,663.66/64,017.09 = 28,783.50/x
  3. Step 3: Cross multiply
    42,663.66x = 64,017.09 × 28,783.50
  4. Step 4: Simplify right side
    42,663.66x = 1,842,635,910.02
  5. Step 5: Solve for x
    x = 1,842,635,910.02/42,663.66
  6. Step 6: Final answer
    x = 43,189.82

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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.