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Finding the Fourth Proportional to 48,576, 72,814.76 and 23,595

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Solution

The fourth proportional to 48,576, 72,814.76 and 23,595 is: 35,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,576 : 72,814.76 = 23,595 : x
  2. Step 2: Convert to fraction form
    48,576/72,814.76 = 23,595/x
  3. Step 3: Cross multiply
    48,576x = 72,814.76 × 23,595
  4. Step 4: Simplify right side
    48,576x = 1,718,064,262.20
  5. Step 5: Solve for x
    x = 1,718,064,262.20/48,576
  6. Step 6: Final answer
    x = 35,368.58

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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.