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Finding the Fourth Proportional to 130,501.78, 195,752.79 and 32,005.78

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Solution

The fourth proportional to 130,501.78, 195,752.79 and 32,005.78 is: 48,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,501.78 : 195,752.79 = 32,005.78 : x
  2. Step 2: Convert to fraction form
    130,501.78/195,752.79 = 32,005.78/x
  3. Step 3: Cross multiply
    130,501.78x = 195,752.79 × 32,005.78
  4. Step 4: Simplify right side
    130,501.78x = 6,265,220,731.13
  5. Step 5: Solve for x
    x = 6,265,220,731.13/130,501.78
  6. Step 6: Final answer
    x = 48,008.70

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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.