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Finding the Fourth Proportional to 52,445.37, 78,607 and 29,971.81

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Solution

The fourth proportional to 52,445.37, 78,607 and 29,971.81 is: 44,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,445.37 : 78,607 = 29,971.81 : x
  2. Step 2: Convert to fraction form
    52,445.37/78,607 = 29,971.81/x
  3. Step 3: Cross multiply
    52,445.37x = 78,607 × 29,971.81
  4. Step 4: Simplify right side
    52,445.37x = 2,355,994,068.67
  5. Step 5: Solve for x
    x = 2,355,994,068.67/52,445.37
  6. Step 6: Final answer
    x = 44,922.82

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