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Finding the Fourth Proportional to 32,594.40, 48,895.45 and 11,530.08

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Solution

The fourth proportional to 32,594.40, 48,895.45 and 11,530.08 is: 17,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.40 : 48,895.45 = 11,530.08 : x
  2. Step 2: Convert to fraction form
    32,594.40/48,895.45 = 11,530.08/x
  3. Step 3: Cross multiply
    32,594.40x = 48,895.45 × 11,530.08
  4. Step 4: Simplify right side
    32,594.40x = 563,768,421.31
  5. Step 5: Solve for x
    x = 563,768,421.31/32,594.40
  6. Step 6: Final answer
    x = 17,296.48

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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.