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Finding the Fourth Proportional to 30,564.96, 45,848.31 and 13,916.40

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Solution

The fourth proportional to 30,564.96, 45,848.31 and 13,916.40 is: 20,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.96 : 45,848.31 = 13,916.40 : x
  2. Step 2: Convert to fraction form
    30,564.96/45,848.31 = 13,916.40/x
  3. Step 3: Cross multiply
    30,564.96x = 45,848.31 × 13,916.40
  4. Step 4: Simplify right side
    30,564.96x = 638,043,421.28
  5. Step 5: Solve for x
    x = 638,043,421.28/30,564.96
  6. Step 6: Final answer
    x = 20,875.00

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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.