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Finding the Fourth Proportional to 35,009.93, 52,514.62 and 8,714.50

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Solution

The fourth proportional to 35,009.93, 52,514.62 and 8,714.50 is: 13,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009.93 : 52,514.62 = 8,714.50 : x
  2. Step 2: Convert to fraction form
    35,009.93/52,514.62 = 8,714.50/x
  3. Step 3: Cross multiply
    35,009.93x = 52,514.62 × 8,714.50
  4. Step 4: Simplify right side
    35,009.93x = 457,638,655.99
  5. Step 5: Solve for x
    x = 457,638,655.99/35,009.93
  6. Step 6: Final answer
    x = 13,071.68

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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.