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Finding the Fourth Proportional to 77,802.66, 107,333.73 and 47,589.30

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Solution

The fourth proportional to 77,802.66, 107,333.73 and 47,589.30 is: 65,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.66 : 107,333.73 = 47,589.30 : x
  2. Step 2: Convert to fraction form
    77,802.66/107,333.73 = 47,589.30/x
  3. Step 3: Cross multiply
    77,802.66x = 107,333.73 × 47,589.30
  4. Step 4: Simplify right side
    77,802.66x = 5,107,937,077.09
  5. Step 5: Solve for x
    x = 5,107,937,077.09/77,802.66
  6. Step 6: Final answer
    x = 65,652.47

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1.5x scale

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.