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Finding the Fourth Proportional to 30,763.72, 42,456.90 and 19,585

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Solution

The fourth proportional to 30,763.72, 42,456.90 and 19,585 is: 27,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.72 : 42,456.90 = 19,585 : x
  2. Step 2: Convert to fraction form
    30,763.72/42,456.90 = 19,585/x
  3. Step 3: Cross multiply
    30,763.72x = 42,456.90 × 19,585
  4. Step 4: Simplify right side
    30,763.72x = 831,518,386.50
  5. Step 5: Solve for x
    x = 831,518,386.50/30,763.72
  6. Step 6: Final answer
    x = 27,029.19

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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.