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Finding the Fourth Proportional to 35,762.54, 53,653.49 and 10,803.40

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Solution

The fourth proportional to 35,762.54, 53,653.49 and 10,803.40 is: 16,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.54 : 53,653.49 = 10,803.40 : x
  2. Step 2: Convert to fraction form
    35,762.54/53,653.49 = 10,803.40/x
  3. Step 3: Cross multiply
    35,762.54x = 53,653.49 × 10,803.40
  4. Step 4: Simplify right side
    35,762.54x = 579,640,113.87
  5. Step 5: Solve for x
    x = 579,640,113.87/35,762.54
  6. Step 6: Final answer
    x = 16,208.02

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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.