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Finding the Fourth Proportional to 75,118.41, 103,733.64 and 48,307.47

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Solution

The fourth proportional to 75,118.41, 103,733.64 and 48,307.47 is: 66,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.41 : 103,733.64 = 48,307.47 : x
  2. Step 2: Convert to fraction form
    75,118.41/103,733.64 = 48,307.47/x
  3. Step 3: Cross multiply
    75,118.41x = 103,733.64 × 48,307.47
  4. Step 4: Simplify right side
    75,118.41x = 5,011,109,702.29
  5. Step 5: Solve for x
    x = 5,011,109,702.29/75,118.41
  6. Step 6: Final answer
    x = 66,709.48

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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.