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Finding the Fourth Proportional to 182,885.37, 274,300.33 and 49,776

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Solution

The fourth proportional to 182,885.37, 274,300.33 and 49,776 is: 74,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,885.37 : 274,300.33 = 49,776 : x
  2. Step 2: Convert to fraction form
    182,885.37/274,300.33 = 49,776/x
  3. Step 3: Cross multiply
    182,885.37x = 274,300.33 × 49,776
  4. Step 4: Simplify right side
    182,885.37x = 13,653,573,226.08
  5. Step 5: Solve for x
    x = 13,653,573,226.08/182,885.37
  6. Step 6: Final answer
    x = 74,656.45

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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.