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Finding the Fourth Proportional to 32,985, 45,519.46 and 19,737

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Solution

The fourth proportional to 32,985, 45,519.46 and 19,737 is: 27,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985 : 45,519.46 = 19,737 : x
  2. Step 2: Convert to fraction form
    32,985/45,519.46 = 19,737/x
  3. Step 3: Cross multiply
    32,985x = 45,519.46 × 19,737
  4. Step 4: Simplify right side
    32,985x = 898,417,582.02
  5. Step 5: Solve for x
    x = 898,417,582.02/32,985
  6. Step 6: Final answer
    x = 27,237.16

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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.