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Finding the Fourth Proportional to 52,713.84, 72,776.74 and 32,597.70

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Solution

The fourth proportional to 52,713.84, 72,776.74 and 32,597.70 is: 45,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,713.84 : 72,776.74 = 32,597.70 : x
  2. Step 2: Convert to fraction form
    52,713.84/72,776.74 = 32,597.70/x
  3. Step 3: Cross multiply
    52,713.84x = 72,776.74 × 32,597.70
  4. Step 4: Simplify right side
    52,713.84x = 2,372,354,337.50
  5. Step 5: Solve for x
    x = 2,372,354,337.50/52,713.84
  6. Step 6: Final answer
    x = 45,004.39

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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.