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Finding the Fourth Proportional to 32,410.86, 48,638.16 and 12,686.94

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Solution

The fourth proportional to 32,410.86, 48,638.16 and 12,686.94 is: 19,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.86 : 48,638.16 = 12,686.94 : x
  2. Step 2: Convert to fraction form
    32,410.86/48,638.16 = 12,686.94/x
  3. Step 3: Cross multiply
    32,410.86x = 48,638.16 × 12,686.94
  4. Step 4: Simplify right side
    32,410.86x = 617,069,417.63
  5. Step 5: Solve for x
    x = 617,069,417.63/32,410.86
  6. Step 6: Final answer
    x = 19,038.97

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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.