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Finding the Fourth Proportional to 31,495.84, 47,232.82 and 9,303.26

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Solution

The fourth proportional to 31,495.84, 47,232.82 and 9,303.26 is: 13,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.84 : 47,232.82 = 9,303.26 : x
  2. Step 2: Convert to fraction form
    31,495.84/47,232.82 = 9,303.26/x
  3. Step 3: Cross multiply
    31,495.84x = 47,232.82 × 9,303.26
  4. Step 4: Simplify right side
    31,495.84x = 439,418,980.46
  5. Step 5: Solve for x
    x = 439,418,980.46/31,495.84
  6. Step 6: Final answer
    x = 13,951.65

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1.5x scale

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.