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Finding the Fourth Proportional to 56,294.80, 77,835.24 and 49,296.40

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Solution

The fourth proportional to 56,294.80, 77,835.24 and 49,296.40 is: 68,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294.80 : 77,835.24 = 49,296.40 : x
  2. Step 2: Convert to fraction form
    56,294.80/77,835.24 = 49,296.40/x
  3. Step 3: Cross multiply
    56,294.80x = 77,835.24 × 49,296.40
  4. Step 4: Simplify right side
    56,294.80x = 3,836,997,125.14
  5. Step 5: Solve for x
    x = 3,836,997,125.14/56,294.80
  6. Step 6: Final answer
    x = 68,159.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.