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Finding the Fourth Proportional to 91,386.24, 137,044.80 and 35,952

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Solution

The fourth proportional to 91,386.24, 137,044.80 and 35,952 is: 53,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,386.24 : 137,044.80 = 35,952 : x
  2. Step 2: Convert to fraction form
    91,386.24/137,044.80 = 35,952/x
  3. Step 3: Cross multiply
    91,386.24x = 137,044.80 × 35,952
  4. Step 4: Simplify right side
    91,386.24x = 4,927,034,649.60
  5. Step 5: Solve for x
    x = 4,927,034,649.60/91,386.24
  6. Step 6: Final answer
    x = 53,914.40

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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.