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Finding the Fourth Proportional to 70,497.51, 105,746.27 and 35,412.57

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Solution

The fourth proportional to 70,497.51, 105,746.27 and 35,412.57 is: 53,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497.51 : 105,746.27 = 35,412.57 : x
  2. Step 2: Convert to fraction form
    70,497.51/105,746.27 = 35,412.57/x
  3. Step 3: Cross multiply
    70,497.51x = 105,746.27 × 35,412.57
  4. Step 4: Simplify right side
    70,497.51x = 3,744,747,011.55
  5. Step 5: Solve for x
    x = 3,744,747,011.55/70,497.51
  6. Step 6: Final answer
    x = 53,118.86

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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.