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Finding the Fourth Proportional to 42,814.51, 59,045 and 36,762.87

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Solution

The fourth proportional to 42,814.51, 59,045 and 36,762.87 is: 50,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.51 : 59,045 = 36,762.87 : x
  2. Step 2: Convert to fraction form
    42,814.51/59,045 = 36,762.87/x
  3. Step 3: Cross multiply
    42,814.51x = 59,045 × 36,762.87
  4. Step 4: Simplify right side
    42,814.51x = 2,170,663,659.15
  5. Step 5: Solve for x
    x = 2,170,663,659.15/42,814.51
  6. Step 6: Final answer
    x = 50,699.25

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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.