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Finding the Fourth Proportional to 107,970.40, 161,878.80 and 41,384.80

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Solution

The fourth proportional to 107,970.40, 161,878.80 and 41,384.80 is: 62,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,970.40 : 161,878.80 = 41,384.80 : x
  2. Step 2: Convert to fraction form
    107,970.40/161,878.80 = 41,384.80/x
  3. Step 3: Cross multiply
    107,970.40x = 161,878.80 × 41,384.80
  4. Step 4: Simplify right side
    107,970.40x = 6,699,321,762.24
  5. Step 5: Solve for x
    x = 6,699,321,762.24/107,970.40
  6. Step 6: Final answer
    x = 62,047.76

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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.