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Finding the Fourth Proportional to 32,460.48, 48,806.64 and 29,894.40

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Solution

The fourth proportional to 32,460.48, 48,806.64 and 29,894.40 is: 44,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.48 : 48,806.64 = 29,894.40 : x
  2. Step 2: Convert to fraction form
    32,460.48/48,806.64 = 29,894.40/x
  3. Step 3: Cross multiply
    32,460.48x = 48,806.64 × 29,894.40
  4. Step 4: Simplify right side
    32,460.48x = 1,459,045,218.82
  5. Step 5: Solve for x
    x = 1,459,045,218.82/32,460.48
  6. Step 6: Final answer
    x = 44,948.36

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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.