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Finding the Fourth Proportional to 30,264.57, 45,402.80 and 10,543.77

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Solution

The fourth proportional to 30,264.57, 45,402.80 and 10,543.77 is: 15,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.57 : 45,402.80 = 10,543.77 : x
  2. Step 2: Convert to fraction form
    30,264.57/45,402.80 = 10,543.77/x
  3. Step 3: Cross multiply
    30,264.57x = 45,402.80 × 10,543.77
  4. Step 4: Simplify right side
    30,264.57x = 478,716,627.84
  5. Step 5: Solve for x
    x = 478,716,627.84/30,264.57
  6. Step 6: Final answer
    x = 15,817.72

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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.