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Finding the Fourth Proportional to 76,152.84, 114,303.08 and 36,737.64

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Solution

The fourth proportional to 76,152.84, 114,303.08 and 36,737.64 is: 55,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152.84 : 114,303.08 = 36,737.64 : x
  2. Step 2: Convert to fraction form
    76,152.84/114,303.08 = 36,737.64/x
  3. Step 3: Cross multiply
    76,152.84x = 114,303.08 × 36,737.64
  4. Step 4: Simplify right side
    76,152.84x = 4,199,225,220.24
  5. Step 5: Solve for x
    x = 4,199,225,220.24/76,152.84
  6. Step 6: Final answer
    x = 55,142.07

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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.