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Finding the Fourth Proportional to 31,752.10, 47,621.13 and 12,030.22

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Solution

The fourth proportional to 31,752.10, 47,621.13 and 12,030.22 is: 18,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.10 : 47,621.13 = 12,030.22 : x
  2. Step 2: Convert to fraction form
    31,752.10/47,621.13 = 12,030.22/x
  3. Step 3: Cross multiply
    31,752.10x = 47,621.13 × 12,030.22
  4. Step 4: Simplify right side
    31,752.10x = 572,892,670.55
  5. Step 5: Solve for x
    x = 572,892,670.55/31,752.10
  6. Step 6: Final answer
    x = 18,042.67

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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.