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Finding the Fourth Proportional to 101,970.96, 152,956.44 and 39,656.04

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Solution

The fourth proportional to 101,970.96, 152,956.44 and 39,656.04 is: 59,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.96 : 152,956.44 = 39,656.04 : x
  2. Step 2: Convert to fraction form
    101,970.96/152,956.44 = 39,656.04/x
  3. Step 3: Cross multiply
    101,970.96x = 152,956.44 × 39,656.04
  4. Step 4: Simplify right side
    101,970.96x = 6,065,646,702.90
  5. Step 5: Solve for x
    x = 6,065,646,702.90/101,970.96
  6. Step 6: Final answer
    x = 59,484.06

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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.