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Finding the Fourth Proportional to 105,048.59, 157,572.89 and 38,461.73

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Solution

The fourth proportional to 105,048.59, 157,572.89 and 38,461.73 is: 57,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.59 : 157,572.89 = 38,461.73 : x
  2. Step 2: Convert to fraction form
    105,048.59/157,572.89 = 38,461.73/x
  3. Step 3: Cross multiply
    105,048.59x = 157,572.89 × 38,461.73
  4. Step 4: Simplify right side
    105,048.59x = 6,060,525,950.50
  5. Step 5: Solve for x
    x = 6,060,525,950.50/105,048.59
  6. Step 6: Final answer
    x = 57,692.60

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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.