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Finding the Fourth Proportional to 30,354.74, 41,893.65 and 17,784.50

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Solution

The fourth proportional to 30,354.74, 41,893.65 and 17,784.50 is: 24,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.74 : 41,893.65 = 17,784.50 : x
  2. Step 2: Convert to fraction form
    30,354.74/41,893.65 = 17,784.50/x
  3. Step 3: Cross multiply
    30,354.74x = 41,893.65 × 17,784.50
  4. Step 4: Simplify right side
    30,354.74x = 745,057,618.43
  5. Step 5: Solve for x
    x = 745,057,618.43/30,354.74
  6. Step 6: Final answer
    x = 24,545.02

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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.