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Finding the Fourth Proportional to 35,558.64, 53,341.02 and 9,263.40

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Solution

The fourth proportional to 35,558.64, 53,341.02 and 9,263.40 is: 13,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558.64 : 53,341.02 = 9,263.40 : x
  2. Step 2: Convert to fraction form
    35,558.64/53,341.02 = 9,263.40/x
  3. Step 3: Cross multiply
    35,558.64x = 53,341.02 × 9,263.40
  4. Step 4: Simplify right side
    35,558.64x = 494,119,204.67
  5. Step 5: Solve for x
    x = 494,119,204.67/35,558.64
  6. Step 6: Final answer
    x = 13,895.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.