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Finding the Fourth Proportional to 103,597.58, 142,977.31 and 58,277.47

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Solution

The fourth proportional to 103,597.58, 142,977.31 and 58,277.47 is: 80,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,597.58 : 142,977.31 = 58,277.47 : x
  2. Step 2: Convert to fraction form
    103,597.58/142,977.31 = 58,277.47/x
  3. Step 3: Cross multiply
    103,597.58x = 142,977.31 × 58,277.47
  4. Step 4: Simplify right side
    103,597.58x = 8,332,355,894.21
  5. Step 5: Solve for x
    x = 8,332,355,894.21/103,597.58
  6. Step 6: Final answer
    x = 80,430.02

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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.