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Finding the Fourth Proportional to 98,683.10, 148,026 and 32,123.51

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Solution

The fourth proportional to 98,683.10, 148,026 and 32,123.51 is: 48,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683.10 : 148,026 = 32,123.51 : x
  2. Step 2: Convert to fraction form
    98,683.10/148,026 = 32,123.51/x
  3. Step 3: Cross multiply
    98,683.10x = 148,026 × 32,123.51
  4. Step 4: Simplify right side
    98,683.10x = 4,755,114,691.26
  5. Step 5: Solve for x
    x = 4,755,114,691.26/98,683.10
  6. Step 6: Final answer
    x = 48,185.70

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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.