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Finding the Fourth Proportional to 30,048.59, 45,072.70 and 12,275.47

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Solution

The fourth proportional to 30,048.59, 45,072.70 and 12,275.47 is: 18,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048.59 : 45,072.70 = 12,275.47 : x
  2. Step 2: Convert to fraction form
    30,048.59/45,072.70 = 12,275.47/x
  3. Step 3: Cross multiply
    30,048.59x = 45,072.70 × 12,275.47
  4. Step 4: Simplify right side
    30,048.59x = 553,288,576.67
  5. Step 5: Solve for x
    x = 553,288,576.67/30,048.59
  6. Step 6: Final answer
    x = 18,413.13

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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.