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Finding the Fourth Proportional to 78,441.48, 108,248.94 and 46,194.84

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Solution

The fourth proportional to 78,441.48, 108,248.94 and 46,194.84 is: 63,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.48 : 108,248.94 = 46,194.84 : x
  2. Step 2: Convert to fraction form
    78,441.48/108,248.94 = 46,194.84/x
  3. Step 3: Cross multiply
    78,441.48x = 108,248.94 × 46,194.84
  4. Step 4: Simplify right side
    78,441.48x = 5,000,542,463.47
  5. Step 5: Solve for x
    x = 5,000,542,463.47/78,441.48
  6. Step 6: Final answer
    x = 63,748.70

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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.