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Finding the Fourth Proportional to 35,762.94, 53,644.82 and 10,803.20

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Solution

The fourth proportional to 35,762.94, 53,644.82 and 10,803.20 is: 16,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.94 : 53,644.82 = 10,803.20 : x
  2. Step 2: Convert to fraction form
    35,762.94/53,644.82 = 10,803.20/x
  3. Step 3: Cross multiply
    35,762.94x = 53,644.82 × 10,803.20
  4. Step 4: Simplify right side
    35,762.94x = 579,535,397.18
  5. Step 5: Solve for x
    x = 579,535,397.18/35,762.94
  6. Step 6: Final answer
    x = 16,204.91

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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.