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Finding the Fourth Proportional to 42,726.30, 64,095.53 and 13,146.54

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Solution

The fourth proportional to 42,726.30, 64,095.53 and 13,146.54 is: 19,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,726.30 : 64,095.53 = 13,146.54 : x
  2. Step 2: Convert to fraction form
    42,726.30/64,095.53 = 13,146.54/x
  3. Step 3: Cross multiply
    42,726.30x = 64,095.53 × 13,146.54
  4. Step 4: Simplify right side
    42,726.30x = 842,634,383.23
  5. Step 5: Solve for x
    x = 842,634,383.23/42,726.30
  6. Step 6: Final answer
    x = 19,721.68

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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.