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Finding the Fourth Proportional to 70,302.29, 105,478.04 and 20,385.38

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Solution

The fourth proportional to 70,302.29, 105,478.04 and 20,385.38 is: 30,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,302.29 : 105,478.04 = 20,385.38 : x
  2. Step 2: Convert to fraction form
    70,302.29/105,478.04 = 20,385.38/x
  3. Step 3: Cross multiply
    70,302.29x = 105,478.04 × 20,385.38
  4. Step 4: Simplify right side
    70,302.29x = 2,150,209,927.06
  5. Step 5: Solve for x
    x = 2,150,209,927.06/70,302.29
  6. Step 6: Final answer
    x = 30,585.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.