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Finding the Fourth Proportional to 34,678.40, 47,862.40 and 20,538.24

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Solution

The fourth proportional to 34,678.40, 47,862.40 and 20,538.24 is: 28,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678.40 : 47,862.40 = 20,538.24 : x
  2. Step 2: Convert to fraction form
    34,678.40/47,862.40 = 20,538.24/x
  3. Step 3: Cross multiply
    34,678.40x = 47,862.40 × 20,538.24
  4. Step 4: Simplify right side
    34,678.40x = 983,009,458.18
  5. Step 5: Solve for x
    x = 983,009,458.18/34,678.40
  6. Step 6: Final answer
    x = 28,346.45

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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.