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Finding the Fourth Proportional to 42,971.68, 64,468.70 and 13,390

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Solution

The fourth proportional to 42,971.68, 64,468.70 and 13,390 is: 20,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,971.68 : 64,468.70 = 13,390 : x
  2. Step 2: Convert to fraction form
    42,971.68/64,468.70 = 13,390/x
  3. Step 3: Cross multiply
    42,971.68x = 64,468.70 × 13,390
  4. Step 4: Simplify right side
    42,971.68x = 863,235,893
  5. Step 5: Solve for x
    x = 863,235,893/42,971.68
  6. Step 6: Final answer
    x = 20,088.48

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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.