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Finding the Fourth Proportional to 35,685.60, 53,528.23 and 9,031.84

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Solution

The fourth proportional to 35,685.60, 53,528.23 and 9,031.84 is: 13,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.60 : 53,528.23 = 9,031.84 : x
  2. Step 2: Convert to fraction form
    35,685.60/53,528.23 = 9,031.84/x
  3. Step 3: Cross multiply
    35,685.60x = 53,528.23 × 9,031.84
  4. Step 4: Simplify right side
    35,685.60x = 483,458,408.84
  5. Step 5: Solve for x
    x = 483,458,408.84/35,685.60
  6. Step 6: Final answer
    x = 13,547.72

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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.