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Finding the Fourth Proportional to 35,295.36, 52,946 and 10,334.40

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Solution

The fourth proportional to 35,295.36, 52,946 and 10,334.40 is: 15,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.36 : 52,946 = 10,334.40 : x
  2. Step 2: Convert to fraction form
    35,295.36/52,946 = 10,334.40/x
  3. Step 3: Cross multiply
    35,295.36x = 52,946 × 10,334.40
  4. Step 4: Simplify right side
    35,295.36x = 547,165,142.40
  5. Step 5: Solve for x
    x = 547,165,142.40/35,295.36
  6. Step 6: Final answer
    x = 15,502.47

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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.