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Finding the Fourth Proportional to 105,092.53, 145,027.48 and 59,148.47

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Solution

The fourth proportional to 105,092.53, 145,027.48 and 59,148.47 is: 81,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.53 : 145,027.48 = 59,148.47 : x
  2. Step 2: Convert to fraction form
    105,092.53/145,027.48 = 59,148.47/x
  3. Step 3: Cross multiply
    105,092.53x = 145,027.48 × 59,148.47
  4. Step 4: Simplify right side
    105,092.53x = 8,578,153,549.96
  5. Step 5: Solve for x
    x = 8,578,153,549.96/105,092.53
  6. Step 6: Final answer
    x = 81,624.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.