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Finding the Fourth Proportional to 43,115.16, 64,675.47 and 13,534.16

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Solution

The fourth proportional to 43,115.16, 64,675.47 and 13,534.16 is: 20,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,115.16 : 64,675.47 = 13,534.16 : x
  2. Step 2: Convert to fraction form
    43,115.16/64,675.47 = 13,534.16/x
  3. Step 3: Cross multiply
    43,115.16x = 64,675.47 × 13,534.16
  4. Step 4: Simplify right side
    43,115.16x = 875,328,159.06
  5. Step 5: Solve for x
    x = 875,328,159.06/43,115.16
  6. Step 6: Final answer
    x = 20,302.10

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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.