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Finding the Fourth Proportional to 51,459.60, 77,196.60 and 21,877.20

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Solution

The fourth proportional to 51,459.60, 77,196.60 and 21,877.20 is: 32,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,459.60 : 77,196.60 = 21,877.20 : x
  2. Step 2: Convert to fraction form
    51,459.60/77,196.60 = 21,877.20/x
  3. Step 3: Cross multiply
    51,459.60x = 77,196.60 × 21,877.20
  4. Step 4: Simplify right side
    51,459.60x = 1,688,845,457.52
  5. Step 5: Solve for x
    x = 1,688,845,457.52/51,459.60
  6. Step 6: Final answer
    x = 32,818.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.