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Finding the Fourth Proportional to 32,256.40, 48,384.60 and 30,312.40

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Solution

The fourth proportional to 32,256.40, 48,384.60 and 30,312.40 is: 45,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256.40 : 48,384.60 = 30,312.40 : x
  2. Step 2: Convert to fraction form
    32,256.40/48,384.60 = 30,312.40/x
  3. Step 3: Cross multiply
    32,256.40x = 48,384.60 × 30,312.40
  4. Step 4: Simplify right side
    32,256.40x = 1,466,653,349.04
  5. Step 5: Solve for x
    x = 1,466,653,349.04/32,256.40
  6. Step 6: Final answer
    x = 45,468.60

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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.