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Finding the Fourth Proportional to 78,673.48, 108,570.66 and 42,865

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Solution

The fourth proportional to 78,673.48, 108,570.66 and 42,865 is: 59,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,673.48 : 108,570.66 = 42,865 : x
  2. Step 2: Convert to fraction form
    78,673.48/108,570.66 = 42,865/x
  3. Step 3: Cross multiply
    78,673.48x = 108,570.66 × 42,865
  4. Step 4: Simplify right side
    78,673.48x = 4,653,881,340.90
  5. Step 5: Solve for x
    x = 4,653,881,340.90/78,673.48
  6. Step 6: Final answer
    x = 59,154.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.