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Finding the Fourth Proportional to 35,114.80, 52,569.80 and 31,428.40

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Solution

The fourth proportional to 35,114.80, 52,569.80 and 31,428.40 is: 47,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.80 : 52,569.80 = 31,428.40 : x
  2. Step 2: Convert to fraction form
    35,114.80/52,569.80 = 31,428.40/x
  3. Step 3: Cross multiply
    35,114.80x = 52,569.80 × 31,428.40
  4. Step 4: Simplify right side
    35,114.80x = 1,652,184,702.32
  5. Step 5: Solve for x
    x = 1,652,184,702.32/35,114.80
  6. Step 6: Final answer
    x = 47,050.95

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Why These Related Problems?

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