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Finding the Fourth Proportional to 73,407.75, 101,302.59 and 41,582.77

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Solution

The fourth proportional to 73,407.75, 101,302.59 and 41,582.77 is: 57,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,407.75 : 101,302.59 = 41,582.77 : x
  2. Step 2: Convert to fraction form
    73,407.75/101,302.59 = 41,582.77/x
  3. Step 3: Cross multiply
    73,407.75x = 101,302.59 × 41,582.77
  4. Step 4: Simplify right side
    73,407.75x = 4,212,442,300.37
  5. Step 5: Solve for x
    x = 4,212,442,300.37/73,407.75
  6. Step 6: Final answer
    x = 57,384.16

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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.