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Finding the Fourth Proportional to 46,509.68, 64,183.56 and 27,646.94

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Solution

The fourth proportional to 46,509.68, 64,183.56 and 27,646.94 is: 38,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.68 : 64,183.56 = 27,646.94 : x
  2. Step 2: Convert to fraction form
    46,509.68/64,183.56 = 27,646.94/x
  3. Step 3: Cross multiply
    46,509.68x = 64,183.56 × 27,646.94
  4. Step 4: Simplify right side
    46,509.68x = 1,774,479,089.09
  5. Step 5: Solve for x
    x = 1,774,479,089.09/46,509.68
  6. Step 6: Final answer
    x = 38,152.90

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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.