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Finding the Fourth Proportional to 32,062.78, 48,094.53 and 9,875.98

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Solution

The fourth proportional to 32,062.78, 48,094.53 and 9,875.98 is: 14,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.78 : 48,094.53 = 9,875.98 : x
  2. Step 2: Convert to fraction form
    32,062.78/48,094.53 = 9,875.98/x
  3. Step 3: Cross multiply
    32,062.78x = 48,094.53 × 9,875.98
  4. Step 4: Simplify right side
    32,062.78x = 474,980,616.39
  5. Step 5: Solve for x
    x = 474,980,616.39/32,062.78
  6. Step 6: Final answer
    x = 14,814.08

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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.