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Finding the Fourth Proportional to 31,543.84, 47,323.26 and 9,357.40

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Solution

The fourth proportional to 31,543.84, 47,323.26 and 9,357.40 is: 14,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.84 : 47,323.26 = 9,357.40 : x
  2. Step 2: Convert to fraction form
    31,543.84/47,323.26 = 9,357.40/x
  3. Step 3: Cross multiply
    31,543.84x = 47,323.26 × 9,357.40
  4. Step 4: Simplify right side
    31,543.84x = 442,822,673.12
  5. Step 5: Solve for x
    x = 442,822,673.12/31,543.84
  6. Step 6: Final answer
    x = 14,038.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.