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Finding the Fourth Proportional to 30,478.13, 45,700.43 and 9,412.36

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Solution

The fourth proportional to 30,478.13, 45,700.43 and 9,412.36 is: 14,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.13 : 45,700.43 = 9,412.36 : x
  2. Step 2: Convert to fraction form
    30,478.13/45,700.43 = 9,412.36/x
  3. Step 3: Cross multiply
    30,478.13x = 45,700.43 × 9,412.36
  4. Step 4: Simplify right side
    30,478.13x = 430,148,899.31
  5. Step 5: Solve for x
    x = 430,148,899.31/30,478.13
  6. Step 6: Final answer
    x = 14,113.36

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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.