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Finding the Fourth Proportional to 35,333.60, 53,000.19 and 9,038.30

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Solution

The fourth proportional to 35,333.60, 53,000.19 and 9,038.30 is: 13,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333.60 : 53,000.19 = 9,038.30 : x
  2. Step 2: Convert to fraction form
    35,333.60/53,000.19 = 9,038.30/x
  3. Step 3: Cross multiply
    35,333.60x = 53,000.19 × 9,038.30
  4. Step 4: Simplify right side
    35,333.60x = 479,031,617.28
  5. Step 5: Solve for x
    x = 479,031,617.28/35,333.60
  6. Step 6: Final answer
    x = 13,557.40

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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.