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Finding the Fourth Proportional to 30,533, 45,804.64 and 10,537.04

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Solution

The fourth proportional to 30,533, 45,804.64 and 10,537.04 is: 15,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533 : 45,804.64 = 10,537.04 : x
  2. Step 2: Convert to fraction form
    30,533/45,804.64 = 10,537.04/x
  3. Step 3: Cross multiply
    30,533x = 45,804.64 × 10,537.04
  4. Step 4: Simplify right side
    30,533x = 482,645,323.87
  5. Step 5: Solve for x
    x = 482,645,323.87/30,533
  6. Step 6: Final answer
    x = 15,807.33

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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.