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Finding the Fourth Proportional to 35,525, 53,302.62 and 13,335.14

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Solution

The fourth proportional to 35,525, 53,302.62 and 13,335.14 is: 20,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,525 : 53,302.62 = 13,335.14 : x
  2. Step 2: Convert to fraction form
    35,525/53,302.62 = 13,335.14/x
  3. Step 3: Cross multiply
    35,525x = 53,302.62 × 13,335.14
  4. Step 4: Simplify right side
    35,525x = 710,797,900.07
  5. Step 5: Solve for x
    x = 710,797,900.07/35,525
  6. Step 6: Final answer
    x = 20,008.39

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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.