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Finding the Fourth Proportional to 32,429, 48,580.56 and 21,301.93

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Solution

The fourth proportional to 32,429, 48,580.56 and 21,301.93 is: 31,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429 : 48,580.56 = 21,301.93 : x
  2. Step 2: Convert to fraction form
    32,429/48,580.56 = 21,301.93/x
  3. Step 3: Cross multiply
    32,429x = 48,580.56 × 21,301.93
  4. Step 4: Simplify right side
    32,429x = 1,034,859,688.48
  5. Step 5: Solve for x
    x = 1,034,859,688.48/32,429
  6. Step 6: Final answer
    x = 31,911.55

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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.