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Finding the Fourth Proportional to 70,509.40, 105,730.08 and 40,934.68

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Solution

The fourth proportional to 70,509.40, 105,730.08 and 40,934.68 is: 61,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.40 : 105,730.08 = 40,934.68 : x
  2. Step 2: Convert to fraction form
    70,509.40/105,730.08 = 40,934.68/x
  3. Step 3: Cross multiply
    70,509.40x = 105,730.08 × 40,934.68
  4. Step 4: Simplify right side
    70,509.40x = 4,328,026,991.17
  5. Step 5: Solve for x
    x = 4,328,026,991.17/70,509.40
  6. Step 6: Final answer
    x = 61,382.27

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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.