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Finding the Fourth Proportional to 46,950.42, 64,789.66 and 28,097.94

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Solution

The fourth proportional to 46,950.42, 64,789.66 and 28,097.94 is: 38,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,950.42 : 64,789.66 = 28,097.94 : x
  2. Step 2: Convert to fraction form
    46,950.42/64,789.66 = 28,097.94/x
  3. Step 3: Cross multiply
    46,950.42x = 64,789.66 × 28,097.94
  4. Step 4: Simplify right side
    46,950.42x = 1,820,455,979.30
  5. Step 5: Solve for x
    x = 1,820,455,979.30/46,950.42
  6. Step 6: Final answer
    x = 38,774.01

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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.