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Finding the Fourth Proportional to 70,509.76, 105,623.64 and 42,414.28

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Solution

The fourth proportional to 70,509.76, 105,623.64 and 42,414.28 is: 63,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.76 : 105,623.64 = 42,414.28 : x
  2. Step 2: Convert to fraction form
    70,509.76/105,623.64 = 42,414.28/x
  3. Step 3: Cross multiply
    70,509.76x = 105,623.64 × 42,414.28
  4. Step 4: Simplify right side
    70,509.76x = 4,479,950,641.58
  5. Step 5: Solve for x
    x = 4,479,950,641.58/70,509.76
  6. Step 6: Final answer
    x = 63,536.60

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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.