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Finding the Fourth Proportional to 105,057.84, 157,487 and 41,916.72

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Solution

The fourth proportional to 105,057.84, 157,487 and 41,916.72 is: 62,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.84 : 157,487 = 41,916.72 : x
  2. Step 2: Convert to fraction form
    105,057.84/157,487 = 41,916.72/x
  3. Step 3: Cross multiply
    105,057.84x = 157,487 × 41,916.72
  4. Step 4: Simplify right side
    105,057.84x = 6,601,338,482.64
  5. Step 5: Solve for x
    x = 6,601,338,482.64/105,057.84
  6. Step 6: Final answer
    x = 62,835.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.