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Finding the Fourth Proportional to 30,595.30, 45,894.08 and 8,410.41

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Solution

The fourth proportional to 30,595.30, 45,894.08 and 8,410.41 is: 12,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.30 : 45,894.08 = 8,410.41 : x
  2. Step 2: Convert to fraction form
    30,595.30/45,894.08 = 8,410.41/x
  3. Step 3: Cross multiply
    30,595.30x = 45,894.08 × 8,410.41
  4. Step 4: Simplify right side
    30,595.30x = 385,987,987.32
  5. Step 5: Solve for x
    x = 385,987,987.32/30,595.30
  6. Step 6: Final answer
    x = 12,615.93

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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.