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Finding the Fourth Proportional to 105,595.98, 158,366.16 and 39,055.17

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Solution

The fourth proportional to 105,595.98, 158,366.16 and 39,055.17 is: 58,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,595.98 : 158,366.16 = 39,055.17 : x
  2. Step 2: Convert to fraction form
    105,595.98/158,366.16 = 39,055.17/x
  3. Step 3: Cross multiply
    105,595.98x = 158,366.16 × 39,055.17
  4. Step 4: Simplify right side
    105,595.98x = 6,185,017,301.05
  5. Step 5: Solve for x
    x = 6,185,017,301.05/105,595.98
  6. Step 6: Final answer
    x = 58,572.47

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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.