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Finding the Fourth Proportional to 31,552.48, 47,324.48 and 9,368.16

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Solution

The fourth proportional to 31,552.48, 47,324.48 and 9,368.16 is: 14,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.48 : 47,324.48 = 9,368.16 : x
  2. Step 2: Convert to fraction form
    31,552.48/47,324.48 = 9,368.16/x
  3. Step 3: Cross multiply
    31,552.48x = 47,324.48 × 9,368.16
  4. Step 4: Simplify right side
    31,552.48x = 443,343,300.56
  5. Step 5: Solve for x
    x = 443,343,300.56/31,552.48
  6. Step 6: Final answer
    x = 14,050.98

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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.