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Finding the Fourth Proportional to 78,427.09, 117,645.18 and 28,507

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Solution

The fourth proportional to 78,427.09, 117,645.18 and 28,507 is: 42,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.09 : 117,645.18 = 28,507 : x
  2. Step 2: Convert to fraction form
    78,427.09/117,645.18 = 28,507/x
  3. Step 3: Cross multiply
    78,427.09x = 117,645.18 × 28,507
  4. Step 4: Simplify right side
    78,427.09x = 3,353,711,146.26
  5. Step 5: Solve for x
    x = 3,353,711,146.26/78,427.09
  6. Step 6: Final answer
    x = 42,762.15

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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.