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Finding the Fourth Proportional to 105,598.92, 145,726.62 and 57,855.32

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Solution

The fourth proportional to 105,598.92, 145,726.62 and 57,855.32 is: 79,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.92 : 145,726.62 = 57,855.32 : x
  2. Step 2: Convert to fraction form
    105,598.92/145,726.62 = 57,855.32/x
  3. Step 3: Cross multiply
    105,598.92x = 145,726.62 × 57,855.32
  4. Step 4: Simplify right side
    105,598.92x = 8,431,060,232.62
  5. Step 5: Solve for x
    x = 8,431,060,232.62/105,598.92
  6. Step 6: Final answer
    x = 79,840.40

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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.