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Finding the Fourth Proportional to 47,082.66, 64,978.38 and 26,946.06

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Solution

The fourth proportional to 47,082.66, 64,978.38 and 26,946.06 is: 37,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082.66 : 64,978.38 = 26,946.06 : x
  2. Step 2: Convert to fraction form
    47,082.66/64,978.38 = 26,946.06/x
  3. Step 3: Cross multiply
    47,082.66x = 64,978.38 × 26,946.06
  4. Step 4: Simplify right side
    47,082.66x = 1,750,911,326.18
  5. Step 5: Solve for x
    x = 1,750,911,326.18/47,082.66
  6. Step 6: Final answer
    x = 37,188.03

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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.