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Finding the Fourth Proportional to 30,466.92, 45,701.61 and 9,405.10

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Solution

The fourth proportional to 30,466.92, 45,701.61 and 9,405.10 is: 14,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.92 : 45,701.61 = 9,405.10 : x
  2. Step 2: Convert to fraction form
    30,466.92/45,701.61 = 9,405.10/x
  3. Step 3: Cross multiply
    30,466.92x = 45,701.61 × 9,405.10
  4. Step 4: Simplify right side
    30,466.92x = 429,828,234.07
  5. Step 5: Solve for x
    x = 429,828,234.07/30,466.92
  6. Step 6: Final answer
    x = 14,108.03

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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.