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Finding the Fourth Proportional to 47,078.06, 64,985.42 and 31,184.06

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Solution

The fourth proportional to 47,078.06, 64,985.42 and 31,184.06 is: 43,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078.06 : 64,985.42 = 31,184.06 : x
  2. Step 2: Convert to fraction form
    47,078.06/64,985.42 = 31,184.06/x
  3. Step 3: Cross multiply
    47,078.06x = 64,985.42 × 31,184.06
  4. Step 4: Simplify right side
    47,078.06x = 2,026,509,080.48
  5. Step 5: Solve for x
    x = 2,026,509,080.48/47,078.06
  6. Step 6: Final answer
    x = 43,045.72

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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.