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Finding the Fourth Proportional to 30,598.61, 42,222.89 and 17,848.40

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Solution

The fourth proportional to 30,598.61, 42,222.89 and 17,848.40 is: 24,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.61 : 42,222.89 = 17,848.40 : x
  2. Step 2: Convert to fraction form
    30,598.61/42,222.89 = 17,848.40/x
  3. Step 3: Cross multiply
    30,598.61x = 42,222.89 × 17,848.40
  4. Step 4: Simplify right side
    30,598.61x = 753,610,863.38
  5. Step 5: Solve for x
    x = 753,610,863.38/30,598.61
  6. Step 6: Final answer
    x = 24,628.93

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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.