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Finding the Fourth Proportional to 72,702.20, 109,056.90 and 37,710.20

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Solution

The fourth proportional to 72,702.20, 109,056.90 and 37,710.20 is: 56,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.20 : 109,056.90 = 37,710.20 : x
  2. Step 2: Convert to fraction form
    72,702.20/109,056.90 = 37,710.20/x
  3. Step 3: Cross multiply
    72,702.20x = 109,056.90 × 37,710.20
  4. Step 4: Simplify right side
    72,702.20x = 4,112,557,510.38
  5. Step 5: Solve for x
    x = 4,112,557,510.38/72,702.20
  6. Step 6: Final answer
    x = 56,567.17

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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.