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Finding the Fourth Proportional to 70,602.50, 105,881.31 and 23,206.65

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Solution

The fourth proportional to 70,602.50, 105,881.31 and 23,206.65 is: 34,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.50 : 105,881.31 = 23,206.65 : x
  2. Step 2: Convert to fraction form
    70,602.50/105,881.31 = 23,206.65/x
  3. Step 3: Cross multiply
    70,602.50x = 105,881.31 × 23,206.65
  4. Step 4: Simplify right side
    70,602.50x = 2,457,150,502.71
  5. Step 5: Solve for x
    x = 2,457,150,502.71/70,602.50
  6. Step 6: Final answer
    x = 34,802.60

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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.