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Finding the Fourth Proportional to 105,407.48, 145,463.55 and 57,659.80

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Solution

The fourth proportional to 105,407.48, 145,463.55 and 57,659.80 is: 79,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.48 : 145,463.55 = 57,659.80 : x
  2. Step 2: Convert to fraction form
    105,407.48/145,463.55 = 57,659.80/x
  3. Step 3: Cross multiply
    105,407.48x = 145,463.55 × 57,659.80
  4. Step 4: Simplify right side
    105,407.48x = 8,387,399,200.29
  5. Step 5: Solve for x
    x = 8,387,399,200.29/105,407.48
  6. Step 6: Final answer
    x = 79,571.20

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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.