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Finding the Fourth Proportional to 47,070.50, 70,634.93 and 27,358.34

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Solution

The fourth proportional to 47,070.50, 70,634.93 and 27,358.34 is: 41,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070.50 : 70,634.93 = 27,358.34 : x
  2. Step 2: Convert to fraction form
    47,070.50/70,634.93 = 27,358.34/x
  3. Step 3: Cross multiply
    47,070.50x = 70,634.93 × 27,358.34
  4. Step 4: Simplify right side
    47,070.50x = 1,932,454,430.82
  5. Step 5: Solve for x
    x = 1,932,454,430.82/47,070.50
  6. Step 6: Final answer
    x = 41,054.47

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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.