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Finding the Fourth Proportional to 30,213.83, 45,320.63 and 7,417.77

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Solution

The fourth proportional to 30,213.83, 45,320.63 and 7,417.77 is: 11,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.83 : 45,320.63 = 7,417.77 : x
  2. Step 2: Convert to fraction form
    30,213.83/45,320.63 = 7,417.77/x
  3. Step 3: Cross multiply
    30,213.83x = 45,320.63 × 7,417.77
  4. Step 4: Simplify right side
    30,213.83x = 336,177,972.51
  5. Step 5: Solve for x
    x = 336,177,972.51/30,213.83
  6. Step 6: Final answer
    x = 11,126.63

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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.