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Finding the Fourth Proportional to 102,483.98, 153,748.72 and 31,416.48

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Solution

The fourth proportional to 102,483.98, 153,748.72 and 31,416.48 is: 47,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,483.98 : 153,748.72 = 31,416.48 : x
  2. Step 2: Convert to fraction form
    102,483.98/153,748.72 = 31,416.48/x
  3. Step 3: Cross multiply
    102,483.98x = 153,748.72 × 31,416.48
  4. Step 4: Simplify right side
    102,483.98x = 4,830,243,586.91
  5. Step 5: Solve for x
    x = 4,830,243,586.91/102,483.98
  6. Step 6: Final answer
    x = 47,131.69

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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.