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Finding the Fourth Proportional to 114,010, 171,015.08 and 30,904

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Solution

The fourth proportional to 114,010, 171,015.08 and 30,904 is: 46,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,010 : 171,015.08 = 30,904 : x
  2. Step 2: Convert to fraction form
    114,010/171,015.08 = 30,904/x
  3. Step 3: Cross multiply
    114,010x = 171,015.08 × 30,904
  4. Step 4: Simplify right side
    114,010x = 5,285,050,032.32
  5. Step 5: Solve for x
    x = 5,285,050,032.32/114,010
  6. Step 6: Final answer
    x = 46,356.02

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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.