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Finding the Fourth Proportional to 98,053.46, 147,066.30 and 31,484.96

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Solution

The fourth proportional to 98,053.46, 147,066.30 and 31,484.96 is: 47,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.46 : 147,066.30 = 31,484.96 : x
  2. Step 2: Convert to fraction form
    98,053.46/147,066.30 = 31,484.96/x
  3. Step 3: Cross multiply
    98,053.46x = 147,066.30 × 31,484.96
  4. Step 4: Simplify right side
    98,053.46x = 4,630,376,572.85
  5. Step 5: Solve for x
    x = 4,630,376,572.85/98,053.46
  6. Step 6: Final answer
    x = 47,222.98

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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.