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Finding the Fourth Proportional to 32,706.18, 49,047.93 and 9,326.34

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Solution

The fourth proportional to 32,706.18, 49,047.93 and 9,326.34 is: 13,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.18 : 49,047.93 = 9,326.34 : x
  2. Step 2: Convert to fraction form
    32,706.18/49,047.93 = 9,326.34/x
  3. Step 3: Cross multiply
    32,706.18x = 49,047.93 × 9,326.34
  4. Step 4: Simplify right side
    32,706.18x = 457,437,671.48
  5. Step 5: Solve for x
    x = 457,437,671.48/32,706.18
  6. Step 6: Final answer
    x = 13,986.28

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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.