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Finding the Fourth Proportional to 70,901.86, 106,368.16 and 20,985.46

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Solution

The fourth proportional to 70,901.86, 106,368.16 and 20,985.46 is: 31,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901.86 : 106,368.16 = 20,985.46 : x
  2. Step 2: Convert to fraction form
    70,901.86/106,368.16 = 20,985.46/x
  3. Step 3: Cross multiply
    70,901.86x = 106,368.16 × 20,985.46
  4. Step 4: Simplify right side
    70,901.86x = 2,232,184,920.89
  5. Step 5: Solve for x
    x = 2,232,184,920.89/70,901.86
  6. Step 6: Final answer
    x = 31,482.74

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1.5x scale

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.