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Finding the Fourth Proportional to 32,402, 44,714.76 and 17,498

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Solution

The fourth proportional to 32,402, 44,714.76 and 17,498 is: 24,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 44,714.76 = 17,498 : x
  2. Step 2: Convert to fraction form
    32,402/44,714.76 = 17,498/x
  3. Step 3: Cross multiply
    32,402x = 44,714.76 × 17,498
  4. Step 4: Simplify right side
    32,402x = 782,418,870.48
  5. Step 5: Solve for x
    x = 782,418,870.48/32,402
  6. Step 6: Final answer
    x = 24,147.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.