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Finding the Fourth Proportional to 30,434.16, 45,665.76 and 13,799.28

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Solution

The fourth proportional to 30,434.16, 45,665.76 and 13,799.28 is: 20,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.16 : 45,665.76 = 13,799.28 : x
  2. Step 2: Convert to fraction form
    30,434.16/45,665.76 = 13,799.28/x
  3. Step 3: Cross multiply
    30,434.16x = 45,665.76 × 13,799.28
  4. Step 4: Simplify right side
    30,434.16x = 630,154,608.65
  5. Step 5: Solve for x
    x = 630,154,608.65/30,434.16
  6. Step 6: Final answer
    x = 20,705.50

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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.