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Finding the Fourth Proportional to 30,429.94, 45,643.36 and 10,708.66

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Solution

The fourth proportional to 30,429.94, 45,643.36 and 10,708.66 is: 16,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.94 : 45,643.36 = 10,708.66 : x
  2. Step 2: Convert to fraction form
    30,429.94/45,643.36 = 10,708.66/x
  3. Step 3: Cross multiply
    30,429.94x = 45,643.36 × 10,708.66
  4. Step 4: Simplify right side
    30,429.94x = 488,779,223.50
  5. Step 5: Solve for x
    x = 488,779,223.50/30,429.94
  6. Step 6: Final answer
    x = 16,062.44

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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.