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Finding the Fourth Proportional to 97,784.71, 146,675.82 and 31,224

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Solution

The fourth proportional to 97,784.71, 146,675.82 and 31,224 is: 46,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,784.71 : 146,675.82 = 31,224 : x
  2. Step 2: Convert to fraction form
    97,784.71/146,675.82 = 31,224/x
  3. Step 3: Cross multiply
    97,784.71x = 146,675.82 × 31,224
  4. Step 4: Simplify right side
    97,784.71x = 4,579,805,803.68
  5. Step 5: Solve for x
    x = 4,579,805,803.68/97,784.71
  6. Step 6: Final answer
    x = 46,835.60

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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.