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Finding the Fourth Proportional to 30,533.67, 45,803.54 and 9,472.86

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Solution

The fourth proportional to 30,533.67, 45,803.54 and 9,472.86 is: 14,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.67 : 45,803.54 = 9,472.86 : x
  2. Step 2: Convert to fraction form
    30,533.67/45,803.54 = 9,472.86/x
  3. Step 3: Cross multiply
    30,533.67x = 45,803.54 × 9,472.86
  4. Step 4: Simplify right side
    30,533.67x = 433,890,545.61
  5. Step 5: Solve for x
    x = 433,890,545.61/30,533.67
  6. Step 6: Final answer
    x = 14,210.23

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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.