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Finding the Fourth Proportional to 30,835.12, 46,252.76 and 7,461.52

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Solution

The fourth proportional to 30,835.12, 46,252.76 and 7,461.52 is: 11,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.12 : 46,252.76 = 7,461.52 : x
  2. Step 2: Convert to fraction form
    30,835.12/46,252.76 = 7,461.52/x
  3. Step 3: Cross multiply
    30,835.12x = 46,252.76 × 7,461.52
  4. Step 4: Simplify right side
    30,835.12x = 345,115,893.80
  5. Step 5: Solve for x
    x = 345,115,893.80/30,835.12
  6. Step 6: Final answer
    x = 11,192.30

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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.