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Finding the Fourth Proportional to 30,302.07, 45,460.38 and 9,525.57

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Solution

The fourth proportional to 30,302.07, 45,460.38 and 9,525.57 is: 14,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.07 : 45,460.38 = 9,525.57 : x
  2. Step 2: Convert to fraction form
    30,302.07/45,460.38 = 9,525.57/x
  3. Step 3: Cross multiply
    30,302.07x = 45,460.38 × 9,525.57
  4. Step 4: Simplify right side
    30,302.07x = 433,036,031.92
  5. Step 5: Solve for x
    x = 433,036,031.92/30,302.07
  6. Step 6: Final answer
    x = 14,290.64

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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.