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Finding the Fourth Proportional to 42,324, 58,407.12 and 23,462.34

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Solution

The fourth proportional to 42,324, 58,407.12 and 23,462.34 is: 32,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324 : 58,407.12 = 23,462.34 : x
  2. Step 2: Convert to fraction form
    42,324/58,407.12 = 23,462.34/x
  3. Step 3: Cross multiply
    42,324x = 58,407.12 × 23,462.34
  4. Step 4: Simplify right side
    42,324x = 1,370,367,707.86
  5. Step 5: Solve for x
    x = 1,370,367,707.86/42,324
  6. Step 6: Final answer
    x = 32,378.03

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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.