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Finding the Fourth Proportional to 30,726.56, 46,055.28 and 14,276

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Solution

The fourth proportional to 30,726.56, 46,055.28 and 14,276 is: 21,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.56 : 46,055.28 = 14,276 : x
  2. Step 2: Convert to fraction form
    30,726.56/46,055.28 = 14,276/x
  3. Step 3: Cross multiply
    30,726.56x = 46,055.28 × 14,276
  4. Step 4: Simplify right side
    30,726.56x = 657,485,177.28
  5. Step 5: Solve for x
    x = 657,485,177.28/30,726.56
  6. Step 6: Final answer
    x = 21,397.94

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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.