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Finding the Fourth Proportional to 32,431.77, 48,647.79 and 9,058.14

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Solution

The fourth proportional to 32,431.77, 48,647.79 and 9,058.14 is: 13,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.77 : 48,647.79 = 9,058.14 : x
  2. Step 2: Convert to fraction form
    32,431.77/48,647.79 = 9,058.14/x
  3. Step 3: Cross multiply
    32,431.77x = 48,647.79 × 9,058.14
  4. Step 4: Simplify right side
    32,431.77x = 440,658,492.51
  5. Step 5: Solve for x
    x = 440,658,492.51/32,431.77
  6. Step 6: Final answer
    x = 13,587.25

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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.