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Finding the Fourth Proportional to 30,492.12, 45,739.80 and 9,714

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Solution

The fourth proportional to 30,492.12, 45,739.80 and 9,714 is: 14,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.12 : 45,739.80 = 9,714 : x
  2. Step 2: Convert to fraction form
    30,492.12/45,739.80 = 9,714/x
  3. Step 3: Cross multiply
    30,492.12x = 45,739.80 × 9,714
  4. Step 4: Simplify right side
    30,492.12x = 444,316,417.20
  5. Step 5: Solve for x
    x = 444,316,417.20/30,492.12
  6. Step 6: Final answer
    x = 14,571.52

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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.