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Finding the Fourth Proportional to 30,135.84, 45,203.16 and 9,359.28

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Solution

The fourth proportional to 30,135.84, 45,203.16 and 9,359.28 is: 14,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.84 : 45,203.16 = 9,359.28 : x
  2. Step 2: Convert to fraction form
    30,135.84/45,203.16 = 9,359.28/x
  3. Step 3: Cross multiply
    30,135.84x = 45,203.16 × 9,359.28
  4. Step 4: Simplify right side
    30,135.84x = 423,069,031.32
  5. Step 5: Solve for x
    x = 423,069,031.32/30,135.84
  6. Step 6: Final answer
    x = 14,038.73

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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.