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Finding the Fourth Proportional to 105,612.48, 145,742.96 and 57,864.80

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Solution

The fourth proportional to 105,612.48, 145,742.96 and 57,864.80 is: 79,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612.48 : 145,742.96 = 57,864.80 : x
  2. Step 2: Convert to fraction form
    105,612.48/145,742.96 = 57,864.80/x
  3. Step 3: Cross multiply
    105,612.48x = 145,742.96 × 57,864.80
  4. Step 4: Simplify right side
    105,612.48x = 8,433,387,740.83
  5. Step 5: Solve for x
    x = 8,433,387,740.83/105,612.48
  6. Step 6: Final answer
    x = 79,852.19

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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.