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Finding the Fourth Proportional to 70,898.21, 97,853.65 and 40,703.93

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Solution

The fourth proportional to 70,898.21, 97,853.65 and 40,703.93 is: 56,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898.21 : 97,853.65 = 40,703.93 : x
  2. Step 2: Convert to fraction form
    70,898.21/97,853.65 = 40,703.93/x
  3. Step 3: Cross multiply
    70,898.21x = 97,853.65 × 40,703.93
  4. Step 4: Simplify right side
    70,898.21x = 3,983,028,119.84
  5. Step 5: Solve for x
    x = 3,983,028,119.84/70,898.21
  6. Step 6: Final answer
    x = 56,179.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.