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Finding the Fourth Proportional to 32,618, 45,012.84 and 19,370

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Solution

The fourth proportional to 32,618, 45,012.84 and 19,370 is: 26,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,618 : 45,012.84 = 19,370 : x
  2. Step 2: Convert to fraction form
    32,618/45,012.84 = 19,370/x
  3. Step 3: Cross multiply
    32,618x = 45,012.84 × 19,370
  4. Step 4: Simplify right side
    32,618x = 871,898,710.80
  5. Step 5: Solve for x
    x = 871,898,710.80/32,618
  6. Step 6: Final answer
    x = 26,730.60

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Why These Related Problems?

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