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Finding the Fourth Proportional to 92,034.34, 138,051.51 and 29,714.02

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Solution

The fourth proportional to 92,034.34, 138,051.51 and 29,714.02 is: 44,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034.34 : 138,051.51 = 29,714.02 : x
  2. Step 2: Convert to fraction form
    92,034.34/138,051.51 = 29,714.02/x
  3. Step 3: Cross multiply
    92,034.34x = 138,051.51 × 29,714.02
  4. Step 4: Simplify right side
    92,034.34x = 4,102,065,329.17
  5. Step 5: Solve for x
    x = 4,102,065,329.17/92,034.34
  6. Step 6: Final answer
    x = 44,571.03

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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.