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Finding the Fourth Proportional to 30,576, 45,870.88 and 10,854.56

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Solution

The fourth proportional to 30,576, 45,870.88 and 10,854.56 is: 16,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 45,870.88 = 10,854.56 : x
  2. Step 2: Convert to fraction form
    30,576/45,870.88 = 10,854.56/x
  3. Step 3: Cross multiply
    30,576x = 45,870.88 × 10,854.56
  4. Step 4: Simplify right side
    30,576x = 497,908,219.21
  5. Step 5: Solve for x
    x = 497,908,219.21/30,576
  6. Step 6: Final answer
    x = 16,284.28

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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.