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Finding the Fourth Proportional to 76,412.40, 114,452.40 and 46,740.48

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Solution

The fourth proportional to 76,412.40, 114,452.40 and 46,740.48 is: 70,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.40 : 114,452.40 = 46,740.48 : x
  2. Step 2: Convert to fraction form
    76,412.40/114,452.40 = 46,740.48/x
  3. Step 3: Cross multiply
    76,412.40x = 114,452.40 × 46,740.48
  4. Step 4: Simplify right side
    76,412.40x = 5,349,560,113.15
  5. Step 5: Solve for x
    x = 5,349,560,113.15/76,412.40
  6. Step 6: Final answer
    x = 70,009.06

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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.