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Finding the Fourth Proportional to 30,357.96, 45,526.01 and 12,829.16

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Solution

The fourth proportional to 30,357.96, 45,526.01 and 12,829.16 is: 19,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.96 : 45,526.01 = 12,829.16 : x
  2. Step 2: Convert to fraction form
    30,357.96/45,526.01 = 12,829.16/x
  3. Step 3: Cross multiply
    30,357.96x = 45,526.01 × 12,829.16
  4. Step 4: Simplify right side
    30,357.96x = 584,060,174.68
  5. Step 5: Solve for x
    x = 584,060,174.68/30,357.96
  6. Step 6: Final answer
    x = 19,239.11

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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.