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Finding the Fourth Proportional to 102,051.30, 153,055.08 and 31,921.50

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Solution

The fourth proportional to 102,051.30, 153,055.08 and 31,921.50 is: 47,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,051.30 : 153,055.08 = 31,921.50 : x
  2. Step 2: Convert to fraction form
    102,051.30/153,055.08 = 31,921.50/x
  3. Step 3: Cross multiply
    102,051.30x = 153,055.08 × 31,921.50
  4. Step 4: Simplify right side
    102,051.30x = 4,885,747,736.22
  5. Step 5: Solve for x
    x = 4,885,747,736.22/102,051.30
  6. Step 6: Final answer
    x = 47,875.41

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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.