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Finding the Fourth Proportional to 70,464.93, 105,802.84 and 61,006.50

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Solution

The fourth proportional to 70,464.93, 105,802.84 and 61,006.50 is: 91,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464.93 : 105,802.84 = 61,006.50 : x
  2. Step 2: Convert to fraction form
    70,464.93/105,802.84 = 61,006.50/x
  3. Step 3: Cross multiply
    70,464.93x = 105,802.84 × 61,006.50
  4. Step 4: Simplify right side
    70,464.93x = 6,454,660,958.46
  5. Step 5: Solve for x
    x = 6,454,660,958.46/70,464.93
  6. Step 6: Final answer
    x = 91,601.04

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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.