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Finding the Fourth Proportional to 30,531.52, 42,111.68 and 19,776.32

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Solution

The fourth proportional to 30,531.52, 42,111.68 and 19,776.32 is: 27,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.52 : 42,111.68 = 19,776.32 : x
  2. Step 2: Convert to fraction form
    30,531.52/42,111.68 = 19,776.32/x
  3. Step 3: Cross multiply
    30,531.52x = 42,111.68 × 19,776.32
  4. Step 4: Simplify right side
    30,531.52x = 832,814,059.42
  5. Step 5: Solve for x
    x = 832,814,059.42/30,531.52
  6. Step 6: Final answer
    x = 27,277.19

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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.