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Finding the Fourth Proportional to 30,106.94, 45,135.74 and 11,376.32

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Solution

The fourth proportional to 30,106.94, 45,135.74 and 11,376.32 is: 17,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.94 : 45,135.74 = 11,376.32 : x
  2. Step 2: Convert to fraction form
    30,106.94/45,135.74 = 11,376.32/x
  3. Step 3: Cross multiply
    30,106.94x = 45,135.74 × 11,376.32
  4. Step 4: Simplify right side
    30,106.94x = 513,478,762.96
  5. Step 5: Solve for x
    x = 513,478,762.96/30,106.94
  6. Step 6: Final answer
    x = 17,055.16

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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.