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Finding the Fourth Proportional to 25,875.30, 38,802.90 and 10,078.08

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Solution

The fourth proportional to 25,875.30, 38,802.90 and 10,078.08 is: 15,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.30 : 38,802.90 = 10,078.08 : x
  2. Step 2: Convert to fraction form
    25,875.30/38,802.90 = 10,078.08/x
  3. Step 3: Cross multiply
    25,875.30x = 38,802.90 × 10,078.08
  4. Step 4: Simplify right side
    25,875.30x = 391,058,730.43
  5. Step 5: Solve for x
    x = 391,058,730.43/25,875.30
  6. Step 6: Final answer
    x = 15,113.21

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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.