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Finding the Fourth Proportional to 77,598, 107,085.24 and 44,064

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Solution

The fourth proportional to 77,598, 107,085.24 and 44,064 is: 60,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,598 : 107,085.24 = 44,064 : x
  2. Step 2: Convert to fraction form
    77,598/107,085.24 = 44,064/x
  3. Step 3: Cross multiply
    77,598x = 107,085.24 × 44,064
  4. Step 4: Simplify right side
    77,598x = 4,718,604,015.36
  5. Step 5: Solve for x
    x = 4,718,604,015.36/77,598
  6. Step 6: Final answer
    x = 60,808.32

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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.