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Finding the Fourth Proportional to 70,495.20, 105,707.79 and 22,457.54

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Solution

The fourth proportional to 70,495.20, 105,707.79 and 22,457.54 is: 33,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,495.20 : 105,707.79 = 22,457.54 : x
  2. Step 2: Convert to fraction form
    70,495.20/105,707.79 = 22,457.54/x
  3. Step 3: Cross multiply
    70,495.20x = 105,707.79 × 22,457.54
  4. Step 4: Simplify right side
    70,495.20x = 2,373,937,186.51
  5. Step 5: Solve for x
    x = 2,373,937,186.51/70,495.20
  6. Step 6: Final answer
    x = 33,675.16

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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.