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Finding the Fourth Proportional to 59,688.14, 82,369.70 and 32,830.70

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Solution

The fourth proportional to 59,688.14, 82,369.70 and 32,830.70 is: 45,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,688.14 : 82,369.70 = 32,830.70 : x
  2. Step 2: Convert to fraction form
    59,688.14/82,369.70 = 32,830.70/x
  3. Step 3: Cross multiply
    59,688.14x = 82,369.70 × 32,830.70
  4. Step 4: Simplify right side
    59,688.14x = 2,704,254,909.79
  5. Step 5: Solve for x
    x = 2,704,254,909.79/59,688.14
  6. Step 6: Final answer
    x = 45,306.40

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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.