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Finding the Fourth Proportional to 46,698.84, 64,461.03 and 27,578.69

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Solution

The fourth proportional to 46,698.84, 64,461.03 and 27,578.69 is: 38,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.84 : 64,461.03 = 27,578.69 : x
  2. Step 2: Convert to fraction form
    46,698.84/64,461.03 = 27,578.69/x
  3. Step 3: Cross multiply
    46,698.84x = 64,461.03 × 27,578.69
  4. Step 4: Simplify right side
    46,698.84x = 1,777,750,441.15
  5. Step 5: Solve for x
    x = 1,777,750,441.15/46,698.84
  6. Step 6: Final answer
    x = 38,068.41

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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.