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Finding the Fourth Proportional to 70,193.02, 105,281.79 and 17,602.51

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Solution

The fourth proportional to 70,193.02, 105,281.79 and 17,602.51 is: 26,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,193.02 : 105,281.79 = 17,602.51 : x
  2. Step 2: Convert to fraction form
    70,193.02/105,281.79 = 17,602.51/x
  3. Step 3: Cross multiply
    70,193.02x = 105,281.79 × 17,602.51
  4. Step 4: Simplify right side
    70,193.02x = 1,853,223,761.29
  5. Step 5: Solve for x
    x = 1,853,223,761.29/70,193.02
  6. Step 6: Final answer
    x = 26,401.82

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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.