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Finding the Fourth Proportional to 39,384, 59,076 and 10,200

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Solution

The fourth proportional to 39,384, 59,076 and 10,200 is: 15,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384 : 59,076 = 10,200 : x
  2. Step 2: Convert to fraction form
    39,384/59,076 = 10,200/x
  3. Step 3: Cross multiply
    39,384x = 59,076 × 10,200
  4. Step 4: Simplify right side
    39,384x = 602,575,200
  5. Step 5: Solve for x
    x = 602,575,200/39,384
  6. Step 6: Final answer
    x = 15,300

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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.