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Finding the Fourth Proportional to 55,462.60, 76,538.58 and 30,312.52

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Solution

The fourth proportional to 55,462.60, 76,538.58 and 30,312.52 is: 41,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462.60 : 76,538.58 = 30,312.52 : x
  2. Step 2: Convert to fraction form
    55,462.60/76,538.58 = 30,312.52/x
  3. Step 3: Cross multiply
    55,462.60x = 76,538.58 × 30,312.52
  4. Step 4: Simplify right side
    55,462.60x = 2,320,077,237.02
  5. Step 5: Solve for x
    x = 2,320,077,237.02/55,462.60
  6. Step 6: Final answer
    x = 41,831.38

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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.