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Finding the Fourth Proportional to 55,386.50, 83,123.14 and 38,637.58

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Solution

The fourth proportional to 55,386.50, 83,123.14 and 38,637.58 is: 57,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386.50 : 83,123.14 = 38,637.58 : x
  2. Step 2: Convert to fraction form
    55,386.50/83,123.14 = 38,637.58/x
  3. Step 3: Cross multiply
    55,386.50x = 83,123.14 × 38,637.58
  4. Step 4: Simplify right side
    55,386.50x = 3,211,676,971.60
  5. Step 5: Solve for x
    x = 3,211,676,971.60/55,386.50
  6. Step 6: Final answer
    x = 57,986.64

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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.