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Finding the Fourth Proportional to 35,937.49, 53,953.70 and 30,706

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Solution

The fourth proportional to 35,937.49, 53,953.70 and 30,706 is: 46,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,937.49 : 53,953.70 = 30,706 : x
  2. Step 2: Convert to fraction form
    35,937.49/53,953.70 = 30,706/x
  3. Step 3: Cross multiply
    35,937.49x = 53,953.70 × 30,706
  4. Step 4: Simplify right side
    35,937.49x = 1,656,702,312.20
  5. Step 5: Solve for x
    x = 1,656,702,312.20/35,937.49
  6. Step 6: Final answer
    x = 46,099.56

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Why These Related Problems?

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