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Finding the Fourth Proportional to 105,007, 157,583.46 and 42,677.56

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Solution

The fourth proportional to 105,007, 157,583.46 and 42,677.56 is: 64,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,007 : 157,583.46 = 42,677.56 : x
  2. Step 2: Convert to fraction form
    105,007/157,583.46 = 42,677.56/x
  3. Step 3: Cross multiply
    105,007x = 157,583.46 × 42,677.56
  4. Step 4: Simplify right side
    105,007x = 6,725,277,569.16
  5. Step 5: Solve for x
    x = 6,725,277,569.16/105,007
  6. Step 6: Final answer
    x = 64,045.99

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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.