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Finding the Fourth Proportional to 48,967.76, 73,441.20 and 13,907.76

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Solution

The fourth proportional to 48,967.76, 73,441.20 and 13,907.76 is: 20,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,967.76 : 73,441.20 = 13,907.76 : x
  2. Step 2: Convert to fraction form
    48,967.76/73,441.20 = 13,907.76/x
  3. Step 3: Cross multiply
    48,967.76x = 73,441.20 × 13,907.76
  4. Step 4: Simplify right side
    48,967.76x = 1,021,402,583.71
  5. Step 5: Solve for x
    x = 1,021,402,583.71/48,967.76
  6. Step 6: Final answer
    x = 20,858.67

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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.