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Finding the Fourth Proportional to 32,038.48, 48,068.00 and 15,399.72

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Solution

The fourth proportional to 32,038.48, 48,068.00 and 15,399.72 is: 23,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.48 : 48,068.00 = 15,399.72 : x
  2. Step 2: Convert to fraction form
    32,038.48/48,068.00 = 15,399.72/x
  3. Step 3: Cross multiply
    32,038.48x = 48,068.00 × 15,399.72
  4. Step 4: Simplify right side
    32,038.48x = 740,233,779.46
  5. Step 5: Solve for x
    x = 740,233,779.46/32,038.48
  6. Step 6: Final answer
    x = 23,104.52

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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.