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Finding the Fourth Proportional to 30,828.74, 46,242.02 and 13,054.50

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Solution

The fourth proportional to 30,828.74, 46,242.02 and 13,054.50 is: 19,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.74 : 46,242.02 = 13,054.50 : x
  2. Step 2: Convert to fraction form
    30,828.74/46,242.02 = 13,054.50/x
  3. Step 3: Cross multiply
    30,828.74x = 46,242.02 × 13,054.50
  4. Step 4: Simplify right side
    30,828.74x = 603,666,482.73
  5. Step 5: Solve for x
    x = 603,666,482.73/30,828.74
  6. Step 6: Final answer
    x = 19,581.29

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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.