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Finding the Fourth Proportional to 76,831.76, 115,246.48 and 46,854.80

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Solution

The fourth proportional to 76,831.76, 115,246.48 and 46,854.80 is: 70,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,831.76 : 115,246.48 = 46,854.80 : x
  2. Step 2: Convert to fraction form
    76,831.76/115,246.48 = 46,854.80/x
  3. Step 3: Cross multiply
    76,831.76x = 115,246.48 × 46,854.80
  4. Step 4: Simplify right side
    76,831.76x = 5,399,850,771.10
  5. Step 5: Solve for x
    x = 5,399,850,771.10/76,831.76
  6. Step 6: Final answer
    x = 70,281.49

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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.