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Finding the Fourth Proportional to 47,077.99, 64,967.32 and 28,215.11

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Solution

The fourth proportional to 47,077.99, 64,967.32 and 28,215.11 is: 38,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,077.99 : 64,967.32 = 28,215.11 : x
  2. Step 2: Convert to fraction form
    47,077.99/64,967.32 = 28,215.11/x
  3. Step 3: Cross multiply
    47,077.99x = 64,967.32 × 28,215.11
  4. Step 4: Simplify right side
    47,077.99x = 1,833,060,080.21
  5. Step 5: Solve for x
    x = 1,833,060,080.21/47,077.99
  6. Step 6: Final answer
    x = 38,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.