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Finding the Fourth Proportional to 32,310, 48,430.08 and 13,585.68

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Solution

The fourth proportional to 32,310, 48,430.08 and 13,585.68 is: 20,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310 : 48,430.08 = 13,585.68 : x
  2. Step 2: Convert to fraction form
    32,310/48,430.08 = 13,585.68/x
  3. Step 3: Cross multiply
    32,310x = 48,430.08 × 13,585.68
  4. Step 4: Simplify right side
    32,310x = 657,955,569.25
  5. Step 5: Solve for x
    x = 657,955,569.25/32,310
  6. Step 6: Final answer
    x = 20,363.84

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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.