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Finding the Fourth Proportional to 32,038.70, 48,000.45 and 27,430.70

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Solution

The fourth proportional to 32,038.70, 48,000.45 and 27,430.70 is: 41,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.70 : 48,000.45 = 27,430.70 : x
  2. Step 2: Convert to fraction form
    32,038.70/48,000.45 = 27,430.70/x
  3. Step 3: Cross multiply
    32,038.70x = 48,000.45 × 27,430.70
  4. Step 4: Simplify right side
    32,038.70x = 1,316,685,943.82
  5. Step 5: Solve for x
    x = 1,316,685,943.82/32,038.70
  6. Step 6: Final answer
    x = 41,096.73

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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.