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Finding the Fourth Proportional to 30,166.16, 45,264.32 and 13,538.08

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Solution

The fourth proportional to 30,166.16, 45,264.32 and 13,538.08 is: 20,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.16 : 45,264.32 = 13,538.08 : x
  2. Step 2: Convert to fraction form
    30,166.16/45,264.32 = 13,538.08/x
  3. Step 3: Cross multiply
    30,166.16x = 45,264.32 × 13,538.08
  4. Step 4: Simplify right side
    30,166.16x = 612,791,985.31
  5. Step 5: Solve for x
    x = 612,791,985.31/30,166.16
  6. Step 6: Final answer
    x = 20,313.89

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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.