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Finding the Fourth Proportional to 32,230.44, 48,345.84 and 14,688

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Solution

The fourth proportional to 32,230.44, 48,345.84 and 14,688 is: 22,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.44 : 48,345.84 = 14,688 : x
  2. Step 2: Convert to fraction form
    32,230.44/48,345.84 = 14,688/x
  3. Step 3: Cross multiply
    32,230.44x = 48,345.84 × 14,688
  4. Step 4: Simplify right side
    32,230.44x = 710,103,697.92
  5. Step 5: Solve for x
    x = 710,103,697.92/32,230.44
  6. Step 6: Final answer
    x = 22,032.08

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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.