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Finding the Fourth Proportional to 30,056.32, 45,082.32 and 13,417.84

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Solution

The fourth proportional to 30,056.32, 45,082.32 and 13,417.84 is: 20,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.32 : 45,082.32 = 13,417.84 : x
  2. Step 2: Convert to fraction form
    30,056.32/45,082.32 = 13,417.84/x
  3. Step 3: Cross multiply
    30,056.32x = 45,082.32 × 13,417.84
  4. Step 4: Simplify right side
    30,056.32x = 604,907,356.59
  5. Step 5: Solve for x
    x = 604,907,356.59/30,056.32
  6. Step 6: Final answer
    x = 20,125.80

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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.