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Finding the Fourth Proportional to 35,671.50, 53,491.47 and 10,706.78

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Solution

The fourth proportional to 35,671.50, 53,491.47 and 10,706.78 is: 16,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.50 : 53,491.47 = 10,706.78 : x
  2. Step 2: Convert to fraction form
    35,671.50/53,491.47 = 10,706.78/x
  3. Step 3: Cross multiply
    35,671.50x = 53,491.47 × 10,706.78
  4. Step 4: Simplify right side
    35,671.50x = 572,721,133.71
  5. Step 5: Solve for x
    x = 572,721,133.71/35,671.50
  6. Step 6: Final answer
    x = 16,055.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.