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Finding the Fourth Proportional to 30,858.02, 46,287.03 and 10,862.80

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Solution

The fourth proportional to 30,858.02, 46,287.03 and 10,862.80 is: 16,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.02 : 46,287.03 = 10,862.80 : x
  2. Step 2: Convert to fraction form
    30,858.02/46,287.03 = 10,862.80/x
  3. Step 3: Cross multiply
    30,858.02x = 46,287.03 × 10,862.80
  4. Step 4: Simplify right side
    30,858.02x = 502,806,807.34
  5. Step 5: Solve for x
    x = 502,806,807.34/30,858.02
  6. Step 6: Final answer
    x = 16,294.20

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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.