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Finding the Fourth Proportional to 82,322.42, 113,594.08 and 52,054.34

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Solution

The fourth proportional to 82,322.42, 113,594.08 and 52,054.34 is: 71,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322.42 : 113,594.08 = 52,054.34 : x
  2. Step 2: Convert to fraction form
    82,322.42/113,594.08 = 52,054.34/x
  3. Step 3: Cross multiply
    82,322.42x = 113,594.08 × 52,054.34
  4. Step 4: Simplify right side
    82,322.42x = 5,913,064,602.04
  5. Step 5: Solve for x
    x = 5,913,064,602.04/82,322.42
  6. Step 6: Final answer
    x = 71,828.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.