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Finding the Fourth Proportional to 105,118.40, 157,583.84 and 38,543.01

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Solution

The fourth proportional to 105,118.40, 157,583.84 and 38,543.01 is: 57,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,118.40 : 157,583.84 = 38,543.01 : x
  2. Step 2: Convert to fraction form
    105,118.40/157,583.84 = 38,543.01/x
  3. Step 3: Cross multiply
    105,118.40x = 157,583.84 × 38,543.01
  4. Step 4: Simplify right side
    105,118.40x = 6,073,755,328.24
  5. Step 5: Solve for x
    x = 6,073,755,328.24/105,118.40
  6. Step 6: Final answer
    x = 57,780.14

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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.