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Finding the Fourth Proportional to 64,152, 96,268.10 and 30,875.58

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Solution

The fourth proportional to 64,152, 96,268.10 and 30,875.58 is: 46,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 96,268.10 = 30,875.58 : x
  2. Step 2: Convert to fraction form
    64,152/96,268.10 = 30,875.58/x
  3. Step 3: Cross multiply
    64,152x = 96,268.10 × 30,875.58
  4. Step 4: Simplify right side
    64,152x = 2,972,333,268.62
  5. Step 5: Solve for x
    x = 2,972,333,268.62/64,152
  6. Step 6: Final answer
    x = 46,332.67

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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.