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Finding the Fourth Proportional to 30,475.68, 42,056.76 and 17,900.64

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Solution

The fourth proportional to 30,475.68, 42,056.76 and 17,900.64 is: 24,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.68 : 42,056.76 = 17,900.64 : x
  2. Step 2: Convert to fraction form
    30,475.68/42,056.76 = 17,900.64/x
  3. Step 3: Cross multiply
    30,475.68x = 42,056.76 × 17,900.64
  4. Step 4: Simplify right side
    30,475.68x = 752,842,920.33
  5. Step 5: Solve for x
    x = 752,842,920.33/30,475.68
  6. Step 6: Final answer
    x = 24,703.07

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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.