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Finding the Fourth Proportional to 30,903.82, 42,646.86 and 16,756.36

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Solution

The fourth proportional to 30,903.82, 42,646.86 and 16,756.36 is: 23,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.82 : 42,646.86 = 16,756.36 : x
  2. Step 2: Convert to fraction form
    30,903.82/42,646.86 = 16,756.36/x
  3. Step 3: Cross multiply
    30,903.82x = 42,646.86 × 16,756.36
  4. Step 4: Simplify right side
    30,903.82x = 714,606,139.03
  5. Step 5: Solve for x
    x = 714,606,139.03/30,903.82
  6. Step 6: Final answer
    x = 23,123.55

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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.