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Finding the Fourth Proportional to 35,985.70, 53,980.17 and 11,023.93

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Solution

The fourth proportional to 35,985.70, 53,980.17 and 11,023.93 is: 16,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985.70 : 53,980.17 = 11,023.93 : x
  2. Step 2: Convert to fraction form
    35,985.70/53,980.17 = 11,023.93/x
  3. Step 3: Cross multiply
    35,985.70x = 53,980.17 × 11,023.93
  4. Step 4: Simplify right side
    35,985.70x = 595,073,615.47
  5. Step 5: Solve for x
    x = 595,073,615.47/35,985.70
  6. Step 6: Final answer
    x = 16,536.39

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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.