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Finding the Fourth Proportional to 32,981.09, 49,473 and 9,607.52

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Solution

The fourth proportional to 32,981.09, 49,473 and 9,607.52 is: 14,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.09 : 49,473 = 9,607.52 : x
  2. Step 2: Convert to fraction form
    32,981.09/49,473 = 9,607.52/x
  3. Step 3: Cross multiply
    32,981.09x = 49,473 × 9,607.52
  4. Step 4: Simplify right side
    32,981.09x = 475,312,589.60
  5. Step 5: Solve for x
    x = 475,312,589.60/32,981.09
  6. Step 6: Final answer
    x = 14,411.67

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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.