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Finding the Fourth Proportional to 39,547.50, 59,258.82 and 32,115.80

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Solution

The fourth proportional to 39,547.50, 59,258.82 and 32,115.80 is: 48,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,547.50 : 59,258.82 = 32,115.80 : x
  2. Step 2: Convert to fraction form
    39,547.50/59,258.82 = 32,115.80/x
  3. Step 3: Cross multiply
    39,547.50x = 59,258.82 × 32,115.80
  4. Step 4: Simplify right side
    39,547.50x = 1,903,144,411.36
  5. Step 5: Solve for x
    x = 1,903,144,411.36/39,547.50
  6. Step 6: Final answer
    x = 48,123.00

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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.