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Finding the Fourth Proportional to 70,528.48, 105,810.21 and 35,006.47

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Solution

The fourth proportional to 70,528.48, 105,810.21 and 35,006.47 is: 52,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,528.48 : 105,810.21 = 35,006.47 : x
  2. Step 2: Convert to fraction form
    70,528.48/105,810.21 = 35,006.47/x
  3. Step 3: Cross multiply
    70,528.48x = 105,810.21 × 35,006.47
  4. Step 4: Simplify right side
    70,528.48x = 3,704,041,942.06
  5. Step 5: Solve for x
    x = 3,704,041,942.06/70,528.48
  6. Step 6: Final answer
    x = 52,518.39

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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.