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Finding the Fourth Proportional to 71,196.64, 98,248.95 and 40,977.77

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Solution

The fourth proportional to 71,196.64, 98,248.95 and 40,977.77 is: 56,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,196.64 : 98,248.95 = 40,977.77 : x
  2. Step 2: Convert to fraction form
    71,196.64/98,248.95 = 40,977.77/x
  3. Step 3: Cross multiply
    71,196.64x = 98,248.95 × 40,977.77
  4. Step 4: Simplify right side
    71,196.64x = 4,026,022,875.84
  5. Step 5: Solve for x
    x = 4,026,022,875.84/71,196.64
  6. Step 6: Final answer
    x = 56,547.93

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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.