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Finding the Fourth Proportional to 30,176.47, 45,254.17 and 12,402.03

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Solution

The fourth proportional to 30,176.47, 45,254.17 and 12,402.03 is: 18,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.47 : 45,254.17 = 12,402.03 : x
  2. Step 2: Convert to fraction form
    30,176.47/45,254.17 = 12,402.03/x
  3. Step 3: Cross multiply
    30,176.47x = 45,254.17 × 12,402.03
  4. Step 4: Simplify right side
    30,176.47x = 561,243,573.97
  5. Step 5: Solve for x
    x = 561,243,573.97/30,176.47
  6. Step 6: Final answer
    x = 18,598.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.