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Finding the Fourth Proportional to 78,558.54, 108,412.47 and 45,024.54

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Solution

The fourth proportional to 78,558.54, 108,412.47 and 45,024.54 is: 62,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,558.54 : 108,412.47 = 45,024.54 : x
  2. Step 2: Convert to fraction form
    78,558.54/108,412.47 = 45,024.54/x
  3. Step 3: Cross multiply
    78,558.54x = 108,412.47 × 45,024.54
  4. Step 4: Simplify right side
    78,558.54x = 4,881,221,592.01
  5. Step 5: Solve for x
    x = 4,881,221,592.01/78,558.54
  6. Step 6: Final answer
    x = 62,134.83

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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.