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Finding the Fourth Proportional to 76,612.92, 105,727.86 and 46,403.70

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Solution

The fourth proportional to 76,612.92, 105,727.86 and 46,403.70 is: 64,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,612.92 : 105,727.86 = 46,403.70 : x
  2. Step 2: Convert to fraction form
    76,612.92/105,727.86 = 46,403.70/x
  3. Step 3: Cross multiply
    76,612.92x = 105,727.86 × 46,403.70
  4. Step 4: Simplify right side
    76,612.92x = 4,906,163,897.08
  5. Step 5: Solve for x
    x = 4,906,163,897.08/76,612.92
  6. Step 6: Final answer
    x = 64,038.34

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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.