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Finding the Fourth Proportional to 105,595.98, 145,726.10 and 57,849.32

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Solution

The fourth proportional to 105,595.98, 145,726.10 and 57,849.32 is: 79,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,595.98 : 145,726.10 = 57,849.32 : x
  2. Step 2: Convert to fraction form
    105,595.98/145,726.10 = 57,849.32/x
  3. Step 3: Cross multiply
    105,595.98x = 145,726.10 × 57,849.32
  4. Step 4: Simplify right side
    105,595.98x = 8,430,155,791.25
  5. Step 5: Solve for x
    x = 8,430,155,791.25/105,595.98
  6. Step 6: Final answer
    x = 79,834.06

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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.