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Finding the Fourth Proportional to 30,457.76, 42,032 and 17,882.72

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Solution

The fourth proportional to 30,457.76, 42,032 and 17,882.72 is: 24,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.76 : 42,032 = 17,882.72 : x
  2. Step 2: Convert to fraction form
    30,457.76/42,032 = 17,882.72/x
  3. Step 3: Cross multiply
    30,457.76x = 42,032 × 17,882.72
  4. Step 4: Simplify right side
    30,457.76x = 751,646,487.04
  5. Step 5: Solve for x
    x = 751,646,487.04/30,457.76
  6. Step 6: Final answer
    x = 24,678.32

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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.