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Finding the Fourth Proportional to 52,687.86, 72,769.16 and 35,430.24

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Solution

The fourth proportional to 52,687.86, 72,769.16 and 35,430.24 is: 48,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687.86 : 72,769.16 = 35,430.24 : x
  2. Step 2: Convert to fraction form
    52,687.86/72,769.16 = 35,430.24/x
  3. Step 3: Cross multiply
    52,687.86x = 72,769.16 × 35,430.24
  4. Step 4: Simplify right side
    52,687.86x = 2,578,228,803.40
  5. Step 5: Solve for x
    x = 2,578,228,803.40/52,687.86
  6. Step 6: Final answer
    x = 48,934.02

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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.