Home / 31,883.94-47,828.61-9,697.50

Finding the Fourth Proportional to 31,883.94, 47,828.61 and 9,697.50

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Solution

The fourth proportional to 31,883.94, 47,828.61 and 9,697.50 is: 14,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.94 : 47,828.61 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    31,883.94/47,828.61 = 9,697.50/x
  3. Step 3: Cross multiply
    31,883.94x = 47,828.61 × 9,697.50
  4. Step 4: Simplify right side
    31,883.94x = 463,817,945.48
  5. Step 5: Solve for x
    x = 463,817,945.48/31,883.94
  6. Step 6: Final answer
    x = 14,547.07

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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.