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Finding the Fourth Proportional to 32,851.84, 45,335.68 and 17,948.16

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Solution

The fourth proportional to 32,851.84, 45,335.68 and 17,948.16 is: 24,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.84 : 45,335.68 = 17,948.16 : x
  2. Step 2: Convert to fraction form
    32,851.84/45,335.68 = 17,948.16/x
  3. Step 3: Cross multiply
    32,851.84x = 45,335.68 × 17,948.16
  4. Step 4: Simplify right side
    32,851.84x = 813,692,038.35
  5. Step 5: Solve for x
    x = 813,692,038.35/32,851.84
  6. Step 6: Final answer
    x = 24,768.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.