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Finding the Fourth Proportional to 51,333, 70,840.68 and 28,670.76

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Solution

The fourth proportional to 51,333, 70,840.68 and 28,670.76 is: 39,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333 : 70,840.68 = 28,670.76 : x
  2. Step 2: Convert to fraction form
    51,333/70,840.68 = 28,670.76/x
  3. Step 3: Cross multiply
    51,333x = 70,840.68 × 28,670.76
  4. Step 4: Simplify right side
    51,333x = 2,031,056,134.52
  5. Step 5: Solve for x
    x = 2,031,056,134.52/51,333
  6. Step 6: Final answer
    x = 39,566.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.