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Finding the Fourth Proportional to 30,402.16, 45,603.40 and 13,742.69

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Solution

The fourth proportional to 30,402.16, 45,603.40 and 13,742.69 is: 20,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.16 : 45,603.40 = 13,742.69 : x
  2. Step 2: Convert to fraction form
    30,402.16/45,603.40 = 13,742.69/x
  3. Step 3: Cross multiply
    30,402.16x = 45,603.40 × 13,742.69
  4. Step 4: Simplify right side
    30,402.16x = 626,713,337.61
  5. Step 5: Solve for x
    x = 626,713,337.61/30,402.16
  6. Step 6: Final answer
    x = 20,614.10

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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.