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Finding the Fourth Proportional to 35,875.96, 53,814.06 and 10,916.20

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Solution

The fourth proportional to 35,875.96, 53,814.06 and 10,916.20 is: 16,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875.96 : 53,814.06 = 10,916.20 : x
  2. Step 2: Convert to fraction form
    35,875.96/53,814.06 = 10,916.20/x
  3. Step 3: Cross multiply
    35,875.96x = 53,814.06 × 10,916.20
  4. Step 4: Simplify right side
    35,875.96x = 587,445,041.77
  5. Step 5: Solve for x
    x = 587,445,041.77/35,875.96
  6. Step 6: Final answer
    x = 16,374.34

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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.