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Finding the Fourth Proportional to 32,038.10, 48,047.92 and 12,041.40

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Solution

The fourth proportional to 32,038.10, 48,047.92 and 12,041.40 is: 18,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.10 : 48,047.92 = 12,041.40 : x
  2. Step 2: Convert to fraction form
    32,038.10/48,047.92 = 12,041.40/x
  3. Step 3: Cross multiply
    32,038.10x = 48,047.92 × 12,041.40
  4. Step 4: Simplify right side
    32,038.10x = 578,564,223.89
  5. Step 5: Solve for x
    x = 578,564,223.89/32,038.10
  6. Step 6: Final answer
    x = 18,058.63

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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.