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Finding the Fourth Proportional to 30,838.32, 42,554.50 and 17,410.89

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Solution

The fourth proportional to 30,838.32, 42,554.50 and 17,410.89 is: 24,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.32 : 42,554.50 = 17,410.89 : x
  2. Step 2: Convert to fraction form
    30,838.32/42,554.50 = 17,410.89/x
  3. Step 3: Cross multiply
    30,838.32x = 42,554.50 × 17,410.89
  4. Step 4: Simplify right side
    30,838.32x = 740,911,718.51
  5. Step 5: Solve for x
    x = 740,911,718.51/30,838.32
  6. Step 6: Final answer
    x = 24,025.68

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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.