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Finding the Fourth Proportional to 70,594.04, 105,894.70 and 31,151.50

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Solution

The fourth proportional to 70,594.04, 105,894.70 and 31,151.50 is: 46,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594.04 : 105,894.70 = 31,151.50 : x
  2. Step 2: Convert to fraction form
    70,594.04/105,894.70 = 31,151.50/x
  3. Step 3: Cross multiply
    70,594.04x = 105,894.70 × 31,151.50
  4. Step 4: Simplify right side
    70,594.04x = 3,298,778,747.05
  5. Step 5: Solve for x
    x = 3,298,778,747.05/70,594.04
  6. Step 6: Final answer
    x = 46,728.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.