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Finding the Fourth Proportional to 30,956.61, 46,434.45 and 7,583.06

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Solution

The fourth proportional to 30,956.61, 46,434.45 and 7,583.06 is: 11,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.61 : 46,434.45 = 7,583.06 : x
  2. Step 2: Convert to fraction form
    30,956.61/46,434.45 = 7,583.06/x
  3. Step 3: Cross multiply
    30,956.61x = 46,434.45 × 7,583.06
  4. Step 4: Simplify right side
    30,956.61x = 352,114,988.24
  5. Step 5: Solve for x
    x = 352,114,988.24/30,956.61
  6. Step 6: Final answer
    x = 11,374.47

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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.