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Finding the Fourth Proportional to 32,596.25, 48,886.70 and 8,898.16

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Solution

The fourth proportional to 32,596.25, 48,886.70 and 8,898.16 is: 13,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.25 : 48,886.70 = 8,898.16 : x
  2. Step 2: Convert to fraction form
    32,596.25/48,886.70 = 8,898.16/x
  3. Step 3: Cross multiply
    32,596.25x = 48,886.70 × 8,898.16
  4. Step 4: Simplify right side
    32,596.25x = 435,001,389.55
  5. Step 5: Solve for x
    x = 435,001,389.55/32,596.25
  6. Step 6: Final answer
    x = 13,345.14

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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.