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Finding the Fourth Proportional to 46,838.52, 64,624.14 and 27,968.76

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Solution

The fourth proportional to 46,838.52, 64,624.14 and 27,968.76 is: 38,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,838.52 : 64,624.14 = 27,968.76 : x
  2. Step 2: Convert to fraction form
    46,838.52/64,624.14 = 27,968.76/x
  3. Step 3: Cross multiply
    46,838.52x = 64,624.14 × 27,968.76
  4. Step 4: Simplify right side
    46,838.52x = 1,807,457,061.87
  5. Step 5: Solve for x
    x = 1,807,457,061.87/46,838.52
  6. Step 6: Final answer
    x = 38,589.12

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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.