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Finding the Fourth Proportional to 32,878.40, 49,312.80 and 9,502.40

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Solution

The fourth proportional to 32,878.40, 49,312.80 and 9,502.40 is: 14,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878.40 : 49,312.80 = 9,502.40 : x
  2. Step 2: Convert to fraction form
    32,878.40/49,312.80 = 9,502.40/x
  3. Step 3: Cross multiply
    32,878.40x = 49,312.80 × 9,502.40
  4. Step 4: Simplify right side
    32,878.40x = 468,589,950.72
  5. Step 5: Solve for x
    x = 468,589,950.72/32,878.40
  6. Step 6: Final answer
    x = 14,252.21

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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.