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Finding the Fourth Proportional to 42,199.84, 63,298 and 10,610.11

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Solution

The fourth proportional to 42,199.84, 63,298 and 10,610.11 is: 15,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,199.84 : 63,298 = 10,610.11 : x
  2. Step 2: Convert to fraction form
    42,199.84/63,298 = 10,610.11/x
  3. Step 3: Cross multiply
    42,199.84x = 63,298 × 10,610.11
  4. Step 4: Simplify right side
    42,199.84x = 671,598,742.78
  5. Step 5: Solve for x
    x = 671,598,742.78/42,199.84
  6. Step 6: Final answer
    x = 15,914.72

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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.