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Finding the Fourth Proportional to 32,547.42, 44,915.46 and 17,643.42

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Solution

The fourth proportional to 32,547.42, 44,915.46 and 17,643.42 is: 24,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.42 : 44,915.46 = 17,643.42 : x
  2. Step 2: Convert to fraction form
    32,547.42/44,915.46 = 17,643.42/x
  3. Step 3: Cross multiply
    32,547.42x = 44,915.46 × 17,643.42
  4. Step 4: Simplify right side
    32,547.42x = 792,462,325.27
  5. Step 5: Solve for x
    x = 792,462,325.27/32,547.42
  6. Step 6: Final answer
    x = 24,347.93

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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.