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Finding the Fourth Proportional to 30,928.32, 42,681.36 and 16,781.28

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Solution

The fourth proportional to 30,928.32, 42,681.36 and 16,781.28 is: 23,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.32 : 42,681.36 = 16,781.28 : x
  2. Step 2: Convert to fraction form
    30,928.32/42,681.36 = 16,781.28/x
  3. Step 3: Cross multiply
    30,928.32x = 42,681.36 × 16,781.28
  4. Step 4: Simplify right side
    30,928.32x = 716,247,852.94
  5. Step 5: Solve for x
    x = 716,247,852.94/30,928.32
  6. Step 6: Final answer
    x = 23,158.32

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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.