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Finding the Fourth Proportional to 30,176.40, 45,085.98 and 29,142.84

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Solution

The fourth proportional to 30,176.40, 45,085.98 and 29,142.84 is: 43,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.40 : 45,085.98 = 29,142.84 : x
  2. Step 2: Convert to fraction form
    30,176.40/45,085.98 = 29,142.84/x
  3. Step 3: Cross multiply
    30,176.40x = 45,085.98 × 29,142.84
  4. Step 4: Simplify right side
    30,176.40x = 1,313,933,501.38
  5. Step 5: Solve for x
    x = 1,313,933,501.38/30,176.40
  6. Step 6: Final answer
    x = 43,541.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.