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Finding the Fourth Proportional to 39,483, 59,224.50 and 10,299

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Solution

The fourth proportional to 39,483, 59,224.50 and 10,299 is: 15,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,483 : 59,224.50 = 10,299 : x
  2. Step 2: Convert to fraction form
    39,483/59,224.50 = 10,299/x
  3. Step 3: Cross multiply
    39,483x = 59,224.50 × 10,299
  4. Step 4: Simplify right side
    39,483x = 609,953,125.50
  5. Step 5: Solve for x
    x = 609,953,125.50/39,483
  6. Step 6: Final answer
    x = 15,448.50

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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.