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Finding the Fourth Proportional to 75,118.32, 103,733.53 and 48,307.37

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Solution

The fourth proportional to 75,118.32, 103,733.53 and 48,307.37 is: 66,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.32 : 103,733.53 = 48,307.37 : x
  2. Step 2: Convert to fraction form
    75,118.32/103,733.53 = 48,307.37/x
  3. Step 3: Cross multiply
    75,118.32x = 103,733.53 × 48,307.37
  4. Step 4: Simplify right side
    75,118.32x = 5,011,093,959.18
  5. Step 5: Solve for x
    x = 5,011,093,959.18/75,118.32
  6. Step 6: Final answer
    x = 66,709.35

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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.