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Finding the Fourth Proportional to 32,403.84, 48,605.76 and 9,030.56

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Solution

The fourth proportional to 32,403.84, 48,605.76 and 9,030.56 is: 13,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.84 : 48,605.76 = 9,030.56 : x
  2. Step 2: Convert to fraction form
    32,403.84/48,605.76 = 9,030.56/x
  3. Step 3: Cross multiply
    32,403.84x = 48,605.76 × 9,030.56
  4. Step 4: Simplify right side
    32,403.84x = 438,937,232.03
  5. Step 5: Solve for x
    x = 438,937,232.03/32,403.84
  6. Step 6: Final answer
    x = 13,545.84

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1.5x scale

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.