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Finding the Fourth Proportional to 70,434.87, 105,653.47 and 19,835.12

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Solution

The fourth proportional to 70,434.87, 105,653.47 and 19,835.12 is: 29,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.87 : 105,653.47 = 19,835.12 : x
  2. Step 2: Convert to fraction form
    70,434.87/105,653.47 = 19,835.12/x
  3. Step 3: Cross multiply
    70,434.87x = 105,653.47 × 19,835.12
  4. Step 4: Simplify right side
    70,434.87x = 2,095,648,628.42
  5. Step 5: Solve for x
    x = 2,095,648,628.42/70,434.87
  6. Step 6: Final answer
    x = 29,753.00

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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.