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Finding the Fourth Proportional to 31,235.61, 46,852.10 and 9,048.50

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Solution

The fourth proportional to 31,235.61, 46,852.10 and 9,048.50 is: 13,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.61 : 46,852.10 = 9,048.50 : x
  2. Step 2: Convert to fraction form
    31,235.61/46,852.10 = 9,048.50/x
  3. Step 3: Cross multiply
    31,235.61x = 46,852.10 × 9,048.50
  4. Step 4: Simplify right side
    31,235.61x = 423,941,226.85
  5. Step 5: Solve for x
    x = 423,941,226.85/31,235.61
  6. Step 6: Final answer
    x = 13,572.37

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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.