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Finding the Fourth Proportional to 30,271.80, 45,386.10 and 13,618.20

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Solution

The fourth proportional to 30,271.80, 45,386.10 and 13,618.20 is: 20,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.80 : 45,386.10 = 13,618.20 : x
  2. Step 2: Convert to fraction form
    30,271.80/45,386.10 = 13,618.20/x
  3. Step 3: Cross multiply
    30,271.80x = 45,386.10 × 13,618.20
  4. Step 4: Simplify right side
    30,271.80x = 618,076,987.02
  5. Step 5: Solve for x
    x = 618,076,987.02/30,271.80
  6. Step 6: Final answer
    x = 20,417.58

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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.