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Finding the Fourth Proportional to 70,888.46, 97,825.29 and 40,678.53

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Solution

The fourth proportional to 70,888.46, 97,825.29 and 40,678.53 is: 56,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,888.46 : 97,825.29 = 40,678.53 : x
  2. Step 2: Convert to fraction form
    70,888.46/97,825.29 = 40,678.53/x
  3. Step 3: Cross multiply
    70,888.46x = 97,825.29 × 40,678.53
  4. Step 4: Simplify right side
    70,888.46x = 3,979,388,994.02
  5. Step 5: Solve for x
    x = 3,979,388,994.02/70,888.46
  6. Step 6: Final answer
    x = 56,135.93

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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.