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Finding the Fourth Proportional to 70,357.24, 105,424.68 and 56,407.82

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Solution

The fourth proportional to 70,357.24, 105,424.68 and 56,407.82 is: 84,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.24 : 105,424.68 = 56,407.82 : x
  2. Step 2: Convert to fraction form
    70,357.24/105,424.68 = 56,407.82/x
  3. Step 3: Cross multiply
    70,357.24x = 105,424.68 × 56,407.82
  4. Step 4: Simplify right side
    70,357.24x = 5,946,776,373.00
  5. Step 5: Solve for x
    x = 5,946,776,373.00/70,357.24
  6. Step 6: Final answer
    x = 84,522.59

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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.