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Finding the Fourth Proportional to 32,035.16, 48,053.50 and 9,848.74

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Solution

The fourth proportional to 32,035.16, 48,053.50 and 9,848.74 is: 14,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.16 : 48,053.50 = 9,848.74 : x
  2. Step 2: Convert to fraction form
    32,035.16/48,053.50 = 9,848.74/x
  3. Step 3: Cross multiply
    32,035.16x = 48,053.50 × 9,848.74
  4. Step 4: Simplify right side
    32,035.16x = 473,266,428.33
  5. Step 5: Solve for x
    x = 473,266,428.33/32,035.16
  6. Step 6: Final answer
    x = 14,773.34

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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.