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Finding the Fourth Proportional to 34,624.69, 47,782.00 and 18,709.10

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Solution

The fourth proportional to 34,624.69, 47,782.00 and 18,709.10 is: 25,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.69 : 47,782.00 = 18,709.10 : x
  2. Step 2: Convert to fraction form
    34,624.69/47,782.00 = 18,709.10/x
  3. Step 3: Cross multiply
    34,624.69x = 47,782.00 × 18,709.10
  4. Step 4: Simplify right side
    34,624.69x = 893,958,314.25
  5. Step 5: Solve for x
    x = 893,958,314.25/34,624.69
  6. Step 6: Final answer
    x = 25,818.52

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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.