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Finding the Fourth Proportional to 105,492, 145,572 and 57,745.92

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Solution

The fourth proportional to 105,492, 145,572 and 57,745.92 is: 79,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492 : 145,572 = 57,745.92 : x
  2. Step 2: Convert to fraction form
    105,492/145,572 = 57,745.92/x
  3. Step 3: Cross multiply
    105,492x = 145,572 × 57,745.92
  4. Step 4: Simplify right side
    105,492x = 8,406,189,066.24
  5. Step 5: Solve for x
    x = 8,406,189,066.24/105,492
  6. Step 6: Final answer
    x = 79,685.56

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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.