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Finding the Fourth Proportional to 78,513.44, 108,312.81 and 46,664.24

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Solution

The fourth proportional to 78,513.44, 108,312.81 and 46,664.24 is: 64,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,513.44 : 108,312.81 = 46,664.24 : x
  2. Step 2: Convert to fraction form
    78,513.44/108,312.81 = 46,664.24/x
  3. Step 3: Cross multiply
    78,513.44x = 108,312.81 × 46,664.24
  4. Step 4: Simplify right side
    78,513.44x = 5,054,334,960.91
  5. Step 5: Solve for x
    x = 5,054,334,960.91/78,513.44
  6. Step 6: Final answer
    x = 64,375.41

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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.