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Finding the Fourth Proportional to 38,525.80, 53,130.02 and 29,573.68

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Solution

The fourth proportional to 38,525.80, 53,130.02 and 29,573.68 is: 40,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.80 : 53,130.02 = 29,573.68 : x
  2. Step 2: Convert to fraction form
    38,525.80/53,130.02 = 29,573.68/x
  3. Step 3: Cross multiply
    38,525.80x = 53,130.02 × 29,573.68
  4. Step 4: Simplify right side
    38,525.80x = 1,571,250,209.87
  5. Step 5: Solve for x
    x = 1,571,250,209.87/38,525.80
  6. Step 6: Final answer
    x = 40,784.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.