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Finding the Fourth Proportional to 35,528, 49,033.50 and 20,624

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Solution

The fourth proportional to 35,528, 49,033.50 and 20,624 is: 28,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528 : 49,033.50 = 20,624 : x
  2. Step 2: Convert to fraction form
    35,528/49,033.50 = 20,624/x
  3. Step 3: Cross multiply
    35,528x = 49,033.50 × 20,624
  4. Step 4: Simplify right side
    35,528x = 1,011,266,904
  5. Step 5: Solve for x
    x = 1,011,266,904/35,528
  6. Step 6: Final answer
    x = 28,463.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.