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Finding the Fourth Proportional to 52,416.40, 78,509.40 and 51,264.40

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Solution

The fourth proportional to 52,416.40, 78,509.40 and 51,264.40 is: 76,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.40 : 78,509.40 = 51,264.40 : x
  2. Step 2: Convert to fraction form
    52,416.40/78,509.40 = 51,264.40/x
  3. Step 3: Cross multiply
    52,416.40x = 78,509.40 × 51,264.40
  4. Step 4: Simplify right side
    52,416.40x = 4,024,737,285.36
  5. Step 5: Solve for x
    x = 4,024,737,285.36/52,416.40
  6. Step 6: Final answer
    x = 76,783.93

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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.