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Finding the Fourth Proportional to 46,483.20, 64,141.92 and 27,617.76

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Solution

The fourth proportional to 46,483.20, 64,141.92 and 27,617.76 is: 38,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,483.20 : 64,141.92 = 27,617.76 : x
  2. Step 2: Convert to fraction form
    46,483.20/64,141.92 = 27,617.76/x
  3. Step 3: Cross multiply
    46,483.20x = 64,141.92 × 27,617.76
  4. Step 4: Simplify right side
    46,483.20x = 1,771,456,152.50
  5. Step 5: Solve for x
    x = 1,771,456,152.50/46,483.20
  6. Step 6: Final answer
    x = 38,109.60

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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.