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Finding the Fourth Proportional to 30,421.12, 45,631.68 and 9,643

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Solution

The fourth proportional to 30,421.12, 45,631.68 and 9,643 is: 14,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.12 : 45,631.68 = 9,643 : x
  2. Step 2: Convert to fraction form
    30,421.12/45,631.68 = 9,643/x
  3. Step 3: Cross multiply
    30,421.12x = 45,631.68 × 9,643
  4. Step 4: Simplify right side
    30,421.12x = 440,026,290.24
  5. Step 5: Solve for x
    x = 440,026,290.24/30,421.12
  6. Step 6: Final answer
    x = 14,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.