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Finding the Fourth Proportional to 32,032.90, 48,038.28 and 12,038.86

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Solution

The fourth proportional to 32,032.90, 48,038.28 and 12,038.86 is: 18,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.90 : 48,038.28 = 12,038.86 : x
  2. Step 2: Convert to fraction form
    32,032.90/48,038.28 = 12,038.86/x
  3. Step 3: Cross multiply
    32,032.90x = 48,038.28 × 12,038.86
  4. Step 4: Simplify right side
    32,032.90x = 578,326,127.56
  5. Step 5: Solve for x
    x = 578,326,127.56/32,032.90
  6. Step 6: Final answer
    x = 18,054.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.