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Finding the Fourth Proportional to 70,340.81, 97,068.38 and 38,509.02

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Solution

The fourth proportional to 70,340.81, 97,068.38 and 38,509.02 is: 53,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340.81 : 97,068.38 = 38,509.02 : x
  2. Step 2: Convert to fraction form
    70,340.81/97,068.38 = 38,509.02/x
  3. Step 3: Cross multiply
    70,340.81x = 97,068.38 × 38,509.02
  4. Step 4: Simplify right side
    70,340.81x = 3,738,007,994.24
  5. Step 5: Solve for x
    x = 3,738,007,994.24/70,340.81
  6. Step 6: Final answer
    x = 53,141.39

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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.