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Finding the Fourth Proportional to 105,038.48, 157,463.40 and 41,902.40

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Solution

The fourth proportional to 105,038.48, 157,463.40 and 41,902.40 is: 62,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,038.48 : 157,463.40 = 41,902.40 : x
  2. Step 2: Convert to fraction form
    105,038.48/157,463.40 = 41,902.40/x
  3. Step 3: Cross multiply
    105,038.48x = 157,463.40 × 41,902.40
  4. Step 4: Simplify right side
    105,038.48x = 6,598,094,372.16
  5. Step 5: Solve for x
    x = 6,598,094,372.16/105,038.48
  6. Step 6: Final answer
    x = 62,815.97

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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.