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Finding the Fourth Proportional to 35,705.61, 53,554.10 and 9,412.34

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Solution

The fourth proportional to 35,705.61, 53,554.10 and 9,412.34 is: 14,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.61 : 53,554.10 = 9,412.34 : x
  2. Step 2: Convert to fraction form
    35,705.61/53,554.10 = 9,412.34/x
  3. Step 3: Cross multiply
    35,705.61x = 53,554.10 × 9,412.34
  4. Step 4: Simplify right side
    35,705.61x = 504,069,082.76
  5. Step 5: Solve for x
    x = 504,069,082.76/35,705.61
  6. Step 6: Final answer
    x = 14,117.36

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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.