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Finding the Fourth Proportional to 32,465.60, 48,717.60 and 11,686.40

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Solution

The fourth proportional to 32,465.60, 48,717.60 and 11,686.40 is: 17,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.60 : 48,717.60 = 11,686.40 : x
  2. Step 2: Convert to fraction form
    32,465.60/48,717.60 = 11,686.40/x
  3. Step 3: Cross multiply
    32,465.60x = 48,717.60 × 11,686.40
  4. Step 4: Simplify right side
    32,465.60x = 569,333,360.64
  5. Step 5: Solve for x
    x = 569,333,360.64/32,465.60
  6. Step 6: Final answer
    x = 17,536.51

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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.