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Finding the Fourth Proportional to 38,525, 53,159.80 and 21,530.16

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Solution

The fourth proportional to 38,525, 53,159.80 and 21,530.16 is: 29,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525 : 53,159.80 = 21,530.16 : x
  2. Step 2: Convert to fraction form
    38,525/53,159.80 = 21,530.16/x
  3. Step 3: Cross multiply
    38,525x = 53,159.80 × 21,530.16
  4. Step 4: Simplify right side
    38,525x = 1,144,538,999.57
  5. Step 5: Solve for x
    x = 1,144,538,999.57/38,525
  6. Step 6: Final answer
    x = 29,708.99

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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.