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Finding the Fourth Proportional to 46,397.76, 64,045.50 and 27,534.88

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Solution

The fourth proportional to 46,397.76, 64,045.50 and 27,534.88 is: 38,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,397.76 : 64,045.50 = 27,534.88 : x
  2. Step 2: Convert to fraction form
    46,397.76/64,045.50 = 27,534.88/x
  3. Step 3: Cross multiply
    46,397.76x = 64,045.50 × 27,534.88
  4. Step 4: Simplify right side
    46,397.76x = 1,763,485,157.04
  5. Step 5: Solve for x
    x = 1,763,485,157.04/46,397.76
  6. Step 6: Final answer
    x = 38,007.98

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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.