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Finding the Fourth Proportional to 103,055.32, 154,553.82 and 46,864

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Solution

The fourth proportional to 103,055.32, 154,553.82 and 46,864 is: 70,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,055.32 : 154,553.82 = 46,864 : x
  2. Step 2: Convert to fraction form
    103,055.32/154,553.82 = 46,864/x
  3. Step 3: Cross multiply
    103,055.32x = 154,553.82 × 46,864
  4. Step 4: Simplify right side
    103,055.32x = 7,243,010,220.48
  5. Step 5: Solve for x
    x = 7,243,010,220.48/103,055.32
  6. Step 6: Final answer
    x = 70,282.74

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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.