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Finding the Fourth Proportional to 32,969.34, 49,432.02 and 10,774.94

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Solution

The fourth proportional to 32,969.34, 49,432.02 and 10,774.94 is: 16,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.34 : 49,432.02 = 10,774.94 : x
  2. Step 2: Convert to fraction form
    32,969.34/49,432.02 = 10,774.94/x
  3. Step 3: Cross multiply
    32,969.34x = 49,432.02 × 10,774.94
  4. Step 4: Simplify right side
    32,969.34x = 532,626,802.42
  5. Step 5: Solve for x
    x = 532,626,802.42/32,969.34
  6. Step 6: Final answer
    x = 16,155.22

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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.