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Finding the Fourth Proportional to 32,510.40, 48,767.40 and 9,135

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Solution

The fourth proportional to 32,510.40, 48,767.40 and 9,135 is: 13,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.40 : 48,767.40 = 9,135 : x
  2. Step 2: Convert to fraction form
    32,510.40/48,767.40 = 9,135/x
  3. Step 3: Cross multiply
    32,510.40x = 48,767.40 × 9,135
  4. Step 4: Simplify right side
    32,510.40x = 445,490,199
  5. Step 5: Solve for x
    x = 445,490,199/32,510.40
  6. Step 6: Final answer
    x = 13,703.01

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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.