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Finding the Fourth Proportional to 42,509.53, 58,663.50 and 23,646.66

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Solution

The fourth proportional to 42,509.53, 58,663.50 and 23,646.66 is: 32,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.53 : 58,663.50 = 23,646.66 : x
  2. Step 2: Convert to fraction form
    42,509.53/58,663.50 = 23,646.66/x
  3. Step 3: Cross multiply
    42,509.53x = 58,663.50 × 23,646.66
  4. Step 4: Simplify right side
    42,509.53x = 1,387,195,530.25
  5. Step 5: Solve for x
    x = 1,387,195,530.25/42,509.53
  6. Step 6: Final answer
    x = 32,632.58

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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.