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Finding the Fourth Proportional to 75,051.54, 103,597.16 and 43,233.12

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Solution

The fourth proportional to 75,051.54, 103,597.16 and 43,233.12 is: 59,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051.54 : 103,597.16 = 43,233.12 : x
  2. Step 2: Convert to fraction form
    75,051.54/103,597.16 = 43,233.12/x
  3. Step 3: Cross multiply
    75,051.54x = 103,597.16 × 43,233.12
  4. Step 4: Simplify right side
    75,051.54x = 4,478,828,233.77
  5. Step 5: Solve for x
    x = 4,478,828,233.77/75,051.54
  6. Step 6: Final answer
    x = 59,676.70

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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.