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Finding the Fourth Proportional to 52,345.98, 72,210.69 and 30,820.50

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Solution

The fourth proportional to 52,345.98, 72,210.69 and 30,820.50 is: 42,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345.98 : 72,210.69 = 30,820.50 : x
  2. Step 2: Convert to fraction form
    52,345.98/72,210.69 = 30,820.50/x
  3. Step 3: Cross multiply
    52,345.98x = 72,210.69 × 30,820.50
  4. Step 4: Simplify right side
    52,345.98x = 2,225,569,571.15
  5. Step 5: Solve for x
    x = 2,225,569,571.15/52,345.98
  6. Step 6: Final answer
    x = 42,516.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.