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Finding the Fourth Proportional to 52,875, 72,967.50 and 29,323

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Solution

The fourth proportional to 52,875, 72,967.50 and 29,323 is: 40,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875 : 72,967.50 = 29,323 : x
  2. Step 2: Convert to fraction form
    52,875/72,967.50 = 29,323/x
  3. Step 3: Cross multiply
    52,875x = 72,967.50 × 29,323
  4. Step 4: Simplify right side
    52,875x = 2,139,626,002.50
  5. Step 5: Solve for x
    x = 2,139,626,002.50/52,875
  6. Step 6: Final answer
    x = 40,465.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.