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Finding the Fourth Proportional to 51,430.60, 77,088.30 and 21,843.40

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Solution

The fourth proportional to 51,430.60, 77,088.30 and 21,843.40 is: 32,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.60 : 77,088.30 = 21,843.40 : x
  2. Step 2: Convert to fraction form
    51,430.60/77,088.30 = 21,843.40/x
  3. Step 3: Cross multiply
    51,430.60x = 77,088.30 × 21,843.40
  4. Step 4: Simplify right side
    51,430.60x = 1,683,870,572.22
  5. Step 5: Solve for x
    x = 1,683,870,572.22/51,430.60
  6. Step 6: Final answer
    x = 32,740.64

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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.