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Finding the Fourth Proportional to 38,685.61, 53,038.46 and 37,985.77

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Solution

The fourth proportional to 38,685.61, 53,038.46 and 37,985.77 is: 52,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,685.61 : 53,038.46 = 37,985.77 : x
  2. Step 2: Convert to fraction form
    38,685.61/53,038.46 = 37,985.77/x
  3. Step 3: Cross multiply
    38,685.61x = 53,038.46 × 37,985.77
  4. Step 4: Simplify right side
    38,685.61x = 2,014,706,477.52
  5. Step 5: Solve for x
    x = 2,014,706,477.52/38,685.61
  6. Step 6: Final answer
    x = 52,078.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.