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Finding the Fourth Proportional to 45,324, 62,537.64 and 27,415.50

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Solution

The fourth proportional to 45,324, 62,537.64 and 27,415.50 is: 37,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,324 : 62,537.64 = 27,415.50 : x
  2. Step 2: Convert to fraction form
    45,324/62,537.64 = 27,415.50/x
  3. Step 3: Cross multiply
    45,324x = 62,537.64 × 27,415.50
  4. Step 4: Simplify right side
    45,324x = 1,714,500,669.42
  5. Step 5: Solve for x
    x = 1,714,500,669.42/45,324
  6. Step 6: Final answer
    x = 37,827.66

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Why These Related Problems?

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