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Finding the Fourth Proportional to 30,732.39, 46,117.80 and 13,202.16

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Solution

The fourth proportional to 30,732.39, 46,117.80 and 13,202.16 is: 19,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.39 : 46,117.80 = 13,202.16 : x
  2. Step 2: Convert to fraction form
    30,732.39/46,117.80 = 13,202.16/x
  3. Step 3: Cross multiply
    30,732.39x = 46,117.80 × 13,202.16
  4. Step 4: Simplify right side
    30,732.39x = 608,854,574.45
  5. Step 5: Solve for x
    x = 608,854,574.45/30,732.39
  6. Step 6: Final answer
    x = 19,811.49

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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.