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Finding the Fourth Proportional to 83,007.60, 124,511.40 and 57,638.40

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Solution

The fourth proportional to 83,007.60, 124,511.40 and 57,638.40 is: 86,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.60 : 124,511.40 = 57,638.40 : x
  2. Step 2: Convert to fraction form
    83,007.60/124,511.40 = 57,638.40/x
  3. Step 3: Cross multiply
    83,007.60x = 124,511.40 × 57,638.40
  4. Step 4: Simplify right side
    83,007.60x = 7,176,637,877.76
  5. Step 5: Solve for x
    x = 7,176,637,877.76/83,007.60
  6. Step 6: Final answer
    x = 86,457.60

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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.