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Finding the Fourth Proportional to 47,808.84, 65,970.84 and 26,586.84

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Solution

The fourth proportional to 47,808.84, 65,970.84 and 26,586.84 is: 36,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.84 : 65,970.84 = 26,586.84 : x
  2. Step 2: Convert to fraction form
    47,808.84/65,970.84 = 26,586.84/x
  3. Step 3: Cross multiply
    47,808.84x = 65,970.84 × 26,586.84
  4. Step 4: Simplify right side
    47,808.84x = 1,753,956,167.75
  5. Step 5: Solve for x
    x = 1,753,956,167.75/47,808.84
  6. Step 6: Final answer
    x = 36,686.86

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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.