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Finding the Fourth Proportional to 32,011.89, 47,994.04 and 15,356.06

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Solution

The fourth proportional to 32,011.89, 47,994.04 and 15,356.06 is: 23,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.89 : 47,994.04 = 15,356.06 : x
  2. Step 2: Convert to fraction form
    32,011.89/47,994.04 = 15,356.06/x
  3. Step 3: Cross multiply
    32,011.89x = 47,994.04 × 15,356.06
  4. Step 4: Simplify right side
    32,011.89x = 736,999,041.13
  5. Step 5: Solve for x
    x = 736,999,041.13/32,011.89
  6. Step 6: Final answer
    x = 23,022.67

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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.