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Finding the Fourth Proportional to 32,598.76, 48,898.14 and 9,222.16

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Solution

The fourth proportional to 32,598.76, 48,898.14 and 9,222.16 is: 13,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.76 : 48,898.14 = 9,222.16 : x
  2. Step 2: Convert to fraction form
    32,598.76/48,898.14 = 9,222.16/x
  3. Step 3: Cross multiply
    32,598.76x = 48,898.14 × 9,222.16
  4. Step 4: Simplify right side
    32,598.76x = 450,946,470.78
  5. Step 5: Solve for x
    x = 450,946,470.78/32,598.76
  6. Step 6: Final answer
    x = 13,833.24

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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.