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Finding the Fourth Proportional to 78,411.60, 108,208.68 and 42,601.68

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Solution

The fourth proportional to 78,411.60, 108,208.68 and 42,601.68 is: 58,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.60 : 108,208.68 = 42,601.68 : x
  2. Step 2: Convert to fraction form
    78,411.60/108,208.68 = 42,601.68/x
  3. Step 3: Cross multiply
    78,411.60x = 108,208.68 × 42,601.68
  4. Step 4: Simplify right side
    78,411.60x = 4,609,871,558.58
  5. Step 5: Solve for x
    x = 4,609,871,558.58/78,411.60
  6. Step 6: Final answer
    x = 58,790.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.