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Finding the Fourth Proportional to 69,088.50, 103,681.98 and 29,656.90

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Solution

The fourth proportional to 69,088.50, 103,681.98 and 29,656.90 is: 44,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,088.50 : 103,681.98 = 29,656.90 : x
  2. Step 2: Convert to fraction form
    69,088.50/103,681.98 = 29,656.90/x
  3. Step 3: Cross multiply
    69,088.50x = 103,681.98 × 29,656.90
  4. Step 4: Simplify right side
    69,088.50x = 3,074,886,112.66
  5. Step 5: Solve for x
    x = 3,074,886,112.66/69,088.50
  6. Step 6: Final answer
    x = 44,506.48

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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.