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Finding the Fourth Proportional to 30,004.19, 45,011.76 and 10,284.74

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Solution

The fourth proportional to 30,004.19, 45,011.76 and 10,284.74 is: 15,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.19 : 45,011.76 = 10,284.74 : x
  2. Step 2: Convert to fraction form
    30,004.19/45,011.76 = 10,284.74/x
  3. Step 3: Cross multiply
    30,004.19x = 45,011.76 × 10,284.74
  4. Step 4: Simplify right side
    30,004.19x = 462,934,322.50
  5. Step 5: Solve for x
    x = 462,934,322.50/30,004.19
  6. Step 6: Final answer
    x = 15,428.99

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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.