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Finding the Fourth Proportional to 30,835.82, 46,255.80 and 10,842.92

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Solution

The fourth proportional to 30,835.82, 46,255.80 and 10,842.92 is: 16,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.82 : 46,255.80 = 10,842.92 : x
  2. Step 2: Convert to fraction form
    30,835.82/46,255.80 = 10,842.92/x
  3. Step 3: Cross multiply
    30,835.82x = 46,255.80 × 10,842.92
  4. Step 4: Simplify right side
    30,835.82x = 501,547,938.94
  5. Step 5: Solve for x
    x = 501,547,938.94/30,835.82
  6. Step 6: Final answer
    x = 16,265.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.