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Finding the Fourth Proportional to 76,152.08, 105,090 and 42,618.08

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Solution

The fourth proportional to 76,152.08, 105,090 and 42,618.08 is: 58,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152.08 : 105,090 = 42,618.08 : x
  2. Step 2: Convert to fraction form
    76,152.08/105,090 = 42,618.08/x
  3. Step 3: Cross multiply
    76,152.08x = 105,090 × 42,618.08
  4. Step 4: Simplify right side
    76,152.08x = 4,478,734,027.20
  5. Step 5: Solve for x
    x = 4,478,734,027.20/76,152.08
  6. Step 6: Final answer
    x = 58,813.02

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1.5x scale

Why These Related Problems?

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