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Finding the Fourth Proportional to 100,971.40, 151,457.10 and 30,841.60

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Solution

The fourth proportional to 100,971.40, 151,457.10 and 30,841.60 is: 46,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.40 : 151,457.10 = 30,841.60 : x
  2. Step 2: Convert to fraction form
    100,971.40/151,457.10 = 30,841.60/x
  3. Step 3: Cross multiply
    100,971.40x = 151,457.10 × 30,841.60
  4. Step 4: Simplify right side
    100,971.40x = 4,671,179,295.36
  5. Step 5: Solve for x
    x = 4,671,179,295.36/100,971.40
  6. Step 6: Final answer
    x = 46,262.40

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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.