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Finding the Fourth Proportional to 46,577.52, 64,295.64 and 27,711

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Solution

The fourth proportional to 46,577.52, 64,295.64 and 27,711 is: 38,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577.52 : 64,295.64 = 27,711 : x
  2. Step 2: Convert to fraction form
    46,577.52/64,295.64 = 27,711/x
  3. Step 3: Cross multiply
    46,577.52x = 64,295.64 × 27,711
  4. Step 4: Simplify right side
    46,577.52x = 1,781,696,480.04
  5. Step 5: Solve for x
    x = 1,781,696,480.04/46,577.52
  6. Step 6: Final answer
    x = 38,252.28

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1.5x scale

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.